Mathematische Nachrichten最新文献

{"title":"The c-Entropy optimality of Donoghue classes","authors":"S. Belyi,&nbsp;K. A. Makarov,&nbsp;E. Tsekanovskii","doi":"10.1002/mana.70096","DOIUrl":"https://doi.org/10.1002/mana.70096","url":null,"abstract":"<p>In this paper, we evaluate c-Entropy of perturbed L-systems introduced in Belyi and Tsekanovskii [Complex Anal. Oper. Theory <b>13</b> (2019), no. 3, 1227–1311]. Explicit formulas relating the c-Entropy of the L-systems and the perturbation parameter are established. We also show that c-Entropy attains its maximum value (finite or infinite) whenever the perturbation parameter vanishes so that the impedance function of such a L-system belongs to one of the generalized (or regular) Donoghue classes.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 2","pages":"433-455"},"PeriodicalIF":0.8,"publicationDate":"2025-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146136331","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":"Nonlinear eigenvalue problems for a biharmonic operator in Orlicz–Sobolev spaces","authors":"Pablo Ochoa,&nbsp;Analía Silva","doi":"10.1002/mana.70087","DOIUrl":"https://doi.org/10.1002/mana.70087","url":null,"abstract":"<p>In this paper, we study a higher-order Laplacian operator in the framework of Orlicz–Sobolev spaces, the biharmonic <i>g</i>-Laplacian\u0000\u0000 </p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 1","pages":"176-198"},"PeriodicalIF":0.8,"publicationDate":"2025-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930936","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":"Stabilization for a degenerate wave equation with time-varying delay in the boundary control input","authors":"Menglan Liao","doi":"10.1002/mana.70089","DOIUrl":"https://doi.org/10.1002/mana.70089","url":null,"abstract":"<p>A degenerate wave equation with time-varying delay in the boundary control input is considered. The well-posedness of the system is established by applying the semigroup theory. The boundary stabilization of the degenerate wave equation is concerned and the uniform exponential decay of solutions is obtained by combining the energy estimates with suitable Lyapunov functionals and an integral inequality under suitable conditions.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 1","pages":"199-213"},"PeriodicalIF":0.8,"publicationDate":"2025-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145941639","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":"An \u0000 \u0000 \u0000 L\u0000 1\u0000 \u0000 $L^{1}$\u0000 -\u0000 \u0000 \u0000 L\u0000 p\u0000 \u0000 $L^{p}$\u0000 estimate for the \u0000 \u0000 \u0000 ∂\u0000 ¯\u0000 \u0000 $overline{partial }$\u0000 -equation in \u0000 \u0000 \u0000 C\u0000 n\u0000 \u0000 $mathbb {C}^{n}$","authors":"Phung Trong Thuc","doi":"10.1002/mana.70086","DOIUrl":"https://doi.org/10.1002/mana.70086","url":null,"abstract":"<p>We obtain an <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mi>L</mi>\u0000 <mn>1</mn>\u0000 </msup>\u0000 <mo>→</mo>\u0000 <msup>\u0000 <mi>L</mi>\u0000 <mi>p</mi>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$L^{1}rightarrow L^{p}$</annotation>\u0000 </semantics></math> estimate in weighted <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>L</mi>\u0000 <mi>p</mi>\u0000 </msup>\u0000 <annotation>$L^{p}$</annotation>\u0000 </semantics></math> norms for the <span></span><math>\u0000 <semantics>\u0000 <mover>\u0000 <mi>∂</mi>\u0000 <mo>¯</mo>\u0000 </mover>\u0000 <annotation>$overline{partial }$</annotation>\u0000 </semantics></math>-equation in <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>C</mi>\u0000 <mi>n</mi>\u0000 </msup>\u0000 <annotation>$mathbb {C}^{n}$</annotation>\u0000 </semantics></math> under a coercivity condition of the associated weighted Kohn Laplacian.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 1","pages":"156-175"},"PeriodicalIF":0.8,"publicationDate":"2025-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145941595","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":"Polynomially oscillatory multipliers on Gelfand–Shilov spaces","authors":"Alexandre Arias Junior,&nbsp;Patrik Wahlberg","doi":"10.1002/mana.70070","DOIUrl":"https://doi.org/10.1002/mana.70070","url":null,"abstract":"<p>We study continuity of the multiplier operator <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>e</mi>\u0000 <mrow>\u0000 <mi>i</mi>\u0000 <mi>q</mi>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>$text{e}^{text{i} q}$</annotation>\u0000 </semantics></math> acting on Gelfand–Shilov spaces, where <span></span><math>\u0000 <semantics>\u0000 <mi>q</mi>\u0000 <annotation>$q$</annotation>\u0000 </semantics></math> is a polynomial on <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>R</mi>\u0000 <mi>d</mi>\u0000 </msup>\u0000 <annotation>$mathbf {R}^{d}$</annotation>\u0000 </semantics></math> of degree at least two with real coefficients. In the parameter quadrant for the spaces, we identify a wedge that depends on the polynomial degree for which the operator is continuous. We also show that in a large part of the complement region the operator is not continuous in dimension one. The results give information on well-posedness for linear evolution equations that generalize the Schrödinger equation for the free particle.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 1","pages":"35-59"},"PeriodicalIF":0.8,"publicationDate":"2025-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.70070","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145941759","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":"Algebraic ∗-Ricci solitons of three-dimensional Lorentzian contact Lie groups","authors":"Junxia Zhu,&nbsp;Rongsheng Ma","doi":"10.1002/mana.70083","DOIUrl":"https://doi.org/10.1002/mana.70083","url":null,"abstract":"<p>In this paper, we introduce the notion of algebraic <span></span><math>\u0000 <semantics>\u0000 <mo>*</mo>\u0000 <annotation>$ast$</annotation>\u0000 </semantics></math>-Ricci solitons of three-dimensional almost contact Lorentzian Lie groups, which represents a fundamentally novel class of solitons. We give the classification of algebraic <span></span><math>\u0000 <semantics>\u0000 <mo>*</mo>\u0000 <annotation>$ast$</annotation>\u0000 </semantics></math>-Ricci solitons of three-dimensional Lorentzian contact unimodular and non-unimodular Lie groups. At last we give an example of expanding algebraic <span></span><math>\u0000 <semantics>\u0000 <mo>*</mo>\u0000 <annotation>$ast$</annotation>\u0000 </semantics></math>-Ricci soliton.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 1","pages":"129-142"},"PeriodicalIF":0.8,"publicationDate":"2025-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145941779","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":"Geometric and analytical results for ρ-Einstein solitons","authors":"Caio Coimbra","doi":"10.1002/mana.70084","DOIUrl":"https://doi.org/10.1002/mana.70084","url":null,"abstract":"<p>In this paper, we study geometric and analytical features of complete noncompact <span></span><math>\u0000 <semantics>\u0000 <mi>ρ</mi>\u0000 <annotation>$rho$</annotation>\u0000 </semantics></math>-Einstein solitons, which are self-similar solutions of the Ricci–Bourguignon flow. We study the spectrum of the drifted Laplacian operator for complete gradient shrinking <span></span><math>\u0000 <semantics>\u0000 <mi>ρ</mi>\u0000 <annotation>$rho$</annotation>\u0000 </semantics></math>-Einstein solitons. Moreover, similar to classical results due to Calabi–Yau and Bishop for complete Riemannian manifolds with nonnegative Ricci curvature, we prove new volume growth estimates for geodesic balls of complete noncompact <span></span><math>\u0000 <semantics>\u0000 <mi>ρ</mi>\u0000 <annotation>$rho$</annotation>\u0000 </semantics></math>-Einstein solitons. In particular, the rigidity case is discussed. In addition, we establish weighted volume growth estimates for geodesic balls of such manifolds.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 1","pages":"143-155"},"PeriodicalIF":0.8,"publicationDate":"2025-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930975","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":"On extensions of Dirichlet and Green–Tao theorems and Goldbach–Dirichlet representations over certain families of commutative rings with unity","authors":"Danny A. J. Gómez-Ramírez,&nbsp;Alberto F. Boix","doi":"10.1002/mana.70080","DOIUrl":"https://doi.org/10.1002/mana.70080","url":null,"abstract":"<p>In this paper, we study stronger forms of Goldbach's conjecture enriched with the linear representations of prime numbers given by the classical Dirichlet theorem and its extensions. We call such a representation a Goldbach–Dirichlet representation (GD-representation). Among other results, we show that Dirichlet's theorem on arithmetic progressions is, in general, not true in the ring of formal power series over the integers. Additionally, we use a polynomial version of the Schinzel hypothesis due to A. Bodin, P. Dèbes, and S. Najib to prove the existence of GD-representations for a wide collection of polynomial rings over special families of fields of characteristic zero, among others. Moreover, we study the (non)validity of Dirichlet's theorem over several families of commutative rings with unity like polynomial and formal series rings. Finally, we obtain a generalization for polyomial rings of the celebrated Green–Tao theorem.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 1","pages":"117-128"},"PeriodicalIF":0.8,"publicationDate":"2025-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145941514","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":"Dynamic boundary conditions with noise for an energy balance model coupled to geophysical flows","authors":"Gianmarco Del Sarto,&nbsp;Matthias Hieber,&nbsp;Tarek Zöchling","doi":"10.1002/mana.70073","DOIUrl":"https://doi.org/10.1002/mana.70073","url":null,"abstract":"<p>This paper investigates a Sellers-type energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well-posed both in the deterministic setting for arbitrary large data in <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>W</mi>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 <mo>(</mo>\u0000 <mn>1</mn>\u0000 <mo>−</mo>\u0000 <mstyle>\u0000 <mrow>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 </mstyle>\u0000 <mo>/</mo>\u0000 <mstyle>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 </mstyle>\u0000 <mo>)</mo>\u0000 <mo>,</mo>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>$W^{2(1-nicefrac {1}{p}),p}$</annotation>\u0000 </semantics></math> for <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 <mo>∈</mo>\u0000 <mo>[</mo>\u0000 <mn>2</mn>\u0000 <mo>,</mo>\u0000 <mi>∞</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$p in [2,infty)$</annotation>\u0000 </semantics></math> and in the stochastic setting for arbitrary large data in <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>H</mi>\u0000 <mn>1</mn>\u0000 </msup>\u0000 <annotation>$mathrm{H}^1$</annotation>\u0000 </semantics></math>.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 1","pages":"60-84"},"PeriodicalIF":0.8,"publicationDate":"2025-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.70073","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930903","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":"A priori estimates of solutions of ordinary differential equation with spectral parameter and integral conditions","authors":"R. A. Bayrash,&nbsp;A. L. Skubachevskii","doi":"10.1002/mana.70074","DOIUrl":"https://doi.org/10.1002/mana.70074","url":null,"abstract":"<p>We consider an even-order ordinary differential operator with a spectral parameter and integral conditions. An a priori estimate of the solutions to the problem is obtained for sufficiently large values of the spectral parameter. The discreteness and the sectoral structure of the spectrum of the corresponding operators are proved.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 1","pages":"85-116"},"PeriodicalIF":0.8,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145941704","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}