Mathematische Nachrichten最新文献

{"title":"Well-Posedness and Stability of Delayed Abstract Thermoelastic Systems","authors":"Kaïs Ammari,&nbsp;Makrem Salhi,&nbsp;Farhat Shel","doi":"10.1002/mana.70176","DOIUrl":"https://doi.org/10.1002/mana.70176","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we consider a stabilization problem of a generalized thermoelastic system (the so called <span></span><math>\u0000 <semantics>\u0000 <mi>α</mi>\u0000 <annotation>$alpha$</annotation>\u0000 </semantics></math>–<span></span><math>\u0000 <semantics>\u0000 <mi>β</mi>\u0000 <annotation>$beta$</annotation>\u0000 </semantics></math> system) with delay in a part of the coupled system. For each case, we prove the well-posedness of the corresponding system using semigroup approach, then under some sufficient conditions we establish some results of exponential and polynomial stability of the system through a frequency-domain approach. The results are applied to concrete examples in thermoelasticity.</p>\u0000 </div>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"1983-2015"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148695845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Two Extremal Rays of Some Hyper–Kähler Fourfolds","authors":"Federica Galluzzi,&nbsp;Bert van Geemen","doi":"10.1002/mana.70185","DOIUrl":"https://doi.org/10.1002/mana.70185","url":null,"abstract":"<p>We consider projective Hyper–Kähler manifolds of dimension 4 that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contraction, the exceptional divisor is a conic bundle over a K3 surface. A classification of lattice embeddings implies that there are five types of such conic bundles. In case the manifold has Picard rank 2 and has two (birational) divisorial contractions, we determine the types of these conic bundles. There are exactly seven cases. For the Fano varieties of lines of cubic fourfolds there are only four cases and we provide examples of these.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"2161-2176"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.70185","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the Fisher-KPP Model With Degenerate Diffusion and Nonlocal Nonlinear Sources","authors":"Shen Bian","doi":"10.1002/mana.70177","DOIUrl":"https://doi.org/10.1002/mana.70177","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper is devoted to the analysis of non-negative solutions for a generalization of the parabolic equation with porous medium like nonlinear diffusion and nonlinear nonlocal reaction. We investigate under which conditions equilibration between two competing effects, repulsion modeled by nonlinear diffusion and aggregation modeled by nonlinear reaction, occurs. Precisely, we exhibit that the qualitative behavior of solutions is decided by the nonlinear diffusion which is chosen in such a way that its scaling and the reaction term coincide, that is, that there is a critical exponent <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>m</mi>\u0000 <mo>+</mo>\u0000 <mn>2</mn>\u0000 <mo>/</mo>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$m+2/n$</annotation>\u0000 </semantics></math> for the reaction exponent <span></span><math>\u0000 <semantics>\u0000 <mi>α</mi>\u0000 <annotation>$alpha$</annotation>\u0000 </semantics></math>, solutions exist globally with uniformly upper bounds in the case of (i) <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>1</mn>\u0000 <mo>≤</mo>\u0000 <mi>α</mi>\u0000 <mo>&lt;</mo>\u0000 <mi>m</mi>\u0000 <mo>+</mo>\u0000 <mn>2</mn>\u0000 <mo>/</mo>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$1le alpha &lt;m+2/n$</annotation>\u0000 </semantics></math> for any initial data, (ii) <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>α</mi>\u0000 <mo>&gt;</mo>\u0000 <mi>m</mi>\u0000 <mo>+</mo>\u0000 <mn>2</mn>\u0000 <mo>/</mo>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$alpha &gt;m+2/n$</annotation>\u0000 </semantics></math> for small initial data, and (iii) <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>α</mi>\u0000 <mo>=</mo>\u0000 <mi>m</mi>\u0000 <mo>+</mo>\u0000 <mn>2</mn>\u0000 <mo>/</mo>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$alpha =m+2/n$</annotation>\u0000 </semantics></math> for small mass capacity <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>M</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <annotation>$M_0$</annotation>\u0000 </semantics></math>. In the case of (ii) and (iii), the decay properties of the solution are also obtained. Moreover, numerical simulations are carried out to explore the initial conditions for finite time blow-up of the solutions as well as their blow-up behaviors.</p></div>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"2016-2047"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Essential Norms of Pointwise Multipliers in the Non-Algebraic Setting","authors":"Tomasz Kiwerski,&nbsp;Jakub Tomaszewski","doi":"10.1002/mana.70174","DOIUrl":"https://doi.org/10.1002/mana.70174","url":null,"abstract":"<div>\u0000 \u0000 <p>Motivated by some recent results, but also referring to recognized classics, we compute the essential norm and the weak essential norm of multiplication operators acting between two distinct Köthe spaces both defined over the same <span></span><math>\u0000 <semantics>\u0000 <mi>σ</mi>\u0000 <annotation>$sigma$</annotation>\u0000 </semantics></math>-finite measure space. A by-product of the technology we have developed here are some applications to Banach sequence spaces related to decreasing functions and to Banach spaces of analytic functions on the unit disc, in particular, Hardy spaces. We will close our work with some specific examples illustrating the previously obtained results including Nakano sequence spaces, as well as Lorentz and Marcinkiewicz sequence spaces.</p></div>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"1917-1955"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148695862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Low Mach Number Limit of Global Solutions to the Full Compressible Navier–Stokes System in Critical Besov Spaces With Large Initial Data","authors":"Sai Li","doi":"10.1002/mana.70172","DOIUrl":"https://doi.org/10.1002/mana.70172","url":null,"abstract":"<div>\u0000 \u0000 <p>We are concerned with global existence of regular solutions to full compressible Navier–Stokes equations and their asymptotic behavior when the Mach number is sufficiently small. We establish global existence in critical Besov spaces for arbitrary large initial data provided that the divergence-free component of initial velocity and the difference between initial temperature and density generate a global regular solution to incompressible Boussinesq systems. Moreover, we rigorously justify the convergence to the incompressible model as the Mach number tends to zero. The proof relies on a fine-grained analysis of the high–middle–low frequencies of density, velocity, and temperature. Our result can be seen as an improvement on Danchin and He [<i>Mathematische Annalen</i> 366 no. 3-4 (2016): 1365–1402], including the extension from small initial data to large initial data and new convergence results which hold at the level of critical regularity.</p></div>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"1838-1882"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148695988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"BMO-Spaces of Slice Hyperholomorphic Functions and Carleson Measure on Quaternionic Dirichlet-Type Spaces","authors":"Sanjay Kumar","doi":"10.1002/mana.70183","DOIUrl":"https://doi.org/10.1002/mana.70183","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we explored the composition operators on the BMO-space of slice hyperholomorphic functions within the unit ball <span></span><math>\u0000 <semantics>\u0000 <mi>B</mi>\u0000 <annotation>$mathbb {B}$</annotation>\u0000 </semantics></math>. Additionally, we also study Carleson measures on quaternionic Dirichlet-type spaces.</p></div>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"2118-2138"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Inducing Coverings on Hilbert Schemes","authors":"Lucas Li Bassi,&nbsp;Filippo Papallo","doi":"10.1002/mana.70186","DOIUrl":"https://doi.org/10.1002/mana.70186","url":null,"abstract":"<p>We find an explicit geometric description of all coverings of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mo>Hilb</mo>\u0000 <mn>2</mn>\u0000 </msup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>Σ</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$operatorname{Hilb}^{2}(Sigma)$</annotation>\u0000 </semantics></math> when <span></span><math>\u0000 <semantics>\u0000 <mi>Σ</mi>\u0000 <annotation>$Sigma$</annotation>\u0000 </semantics></math> is a normal, complex, quasi-projective surface with finite fundamental group. We then apply this construction to show that if <span></span><math>\u0000 <semantics>\u0000 <mi>Σ</mi>\u0000 <annotation>$Sigma$</annotation>\u0000 </semantics></math> is an irreducible symplectic surface then <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mo>Hilb</mo>\u0000 <mn>2</mn>\u0000 </msup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>Σ</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$operatorname{Hilb}^{2}(Sigma)$</annotation>\u0000 </semantics></math> is an irreducible symplectic variety.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"2177-2190"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.70186","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Some Results on Compact Kähler Manifolds With Elliptic Homotopy Type","authors":"Yang Su,&nbsp;Jianqiang Yang","doi":"10.1002/mana.70178","DOIUrl":"https://doi.org/10.1002/mana.70178","url":null,"abstract":"<div>\u0000 \u0000 <p>We show some results of compact Kähler manifolds with elliptic homotopy type. In complex dimension <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>4</mn>\u0000 </mrow>\u0000 <annotation>$hskip.001pt 4$</annotation>\u0000 </semantics></math>, we list the Hodge diamonds of compact Kähler manifolds with elliptic homotopy type. In general dimension, we obtain a partial characterization of the Hodge diamonds.</p></div>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"2048-2062"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14","authors":"Flora Poon","doi":"10.1002/mana.70173","DOIUrl":"https://doi.org/10.1002/mana.70173","url":null,"abstract":"<p>The isometry between the type IV₆ and the type II₄ hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8-folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces using the Kuga–Satake construction. Furthermore, we illustrate how the modular mapping can be realized for some specific families of K3 surfaces of Picard rank 14, which can be specialized to families of K3 surfaces of higher Picard rank.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"1894-1916"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.70173","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148695865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Weighted Inequalities for Variation Operators Associated With Fractional Schrödinger Semigroups","authors":"Yanhan Chen","doi":"10.1002/mana.70188","DOIUrl":"https://doi.org/10.1002/mana.70188","url":null,"abstract":"<div>\u0000 \u0000 <p>Let <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mrow>\u0000 <mo>{</mo>\u0000 <msup>\u0000 <mi>e</mi>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 <mi>t</mi>\u0000 <msup>\u0000 <mi>L</mi>\u0000 <mi>α</mi>\u0000 </msup>\u0000 </mrow>\u0000 </msup>\u0000 <mo>}</mo>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>t</mi>\u0000 <mo>&gt;</mo>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 </msub>\u0000 <annotation>$lbrace text{e}^{-tL^{alpha }}rbrace _{t&gt;0}$</annotation>\u0000 </semantics></math> be the fractional Schrödinger semigroup associated with <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>L</mi>\u0000 <mo>=</mo>\u0000 <mo>−</mo>\u0000 <mi>Δ</mi>\u0000 <mo>+</mo>\u0000 <mi>V</mi>\u0000 </mrow>\u0000 <annotation>$L=-Delta +V$</annotation>\u0000 </semantics></math>, where <span></span><math>\u0000 <semantics>\u0000 <mi>V</mi>\u0000 <annotation>$V$</annotation>\u0000 </semantics></math> is a non-negative potential belonging to the reverse Hölder class. In this paper, we establish weighted boundedness properties of the variation operator related to <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mrow>\u0000 <mo>{</mo>\u0000 <msup>\u0000 <mi>e</mi>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 <mi>t</mi>\u0000 <msup>\u0000 <mi>L</mi>\u0000 <mi>α</mi>\u0000 </msup>\u0000 </mrow>\u0000 </msup>\u0000 <mo>}</mo>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>t</mi>\u0000 <mo>&gt;</mo>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 </msub>\u0000 <annotation>$lbrace text{e}^{-tL^{alpha }}rbrace _{t&gt;0}$</annotation>\u0000 </semantics></math>, including weighted <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mi>L</mi>\u0000 <mi>p</mi>\u0000 </msup>\u0000 <mo>−</mo>\u0000 <msup>\u0000 <mi>L</mi>\u0000 <mi>q</mi>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$L^{p}-L^{q}$</annotation>\u0000 </semantics></math> quantitative inequalities and mixed weak-type inequalities.</p></div>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 8","pages":"2208-2229"},"PeriodicalIF":1.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148695878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}