Analysis and Mathematical Physics最新文献_第4页

Asymptotic expansions for semilinear waves on asymptotically flat spacetimes 渐近平坦时空上半线性波的渐近展开式

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-09-01 DOI: 10.1007/s13324-026-01264-w

Sam Looi, Haoren Xiong

{"title":"Asymptotic expansions for semilinear waves on asymptotically flat spacetimes","authors":"Sam Looi, Haoren Xiong","doi":"10.1007/s13324-026-01264-w","DOIUrl":"10.1007/s13324-026-01264-w","url":null,"abstract":"<div>We establish precise asymptotic expansions for solutions to semilinear wave equations with power-type nonlinearities on asymptotically flat spacetimes. Our analysis focuses on two key cases: cubic nonlinearities and higher-order power nonlinearities. For cubic nonlinearities of the form (a(t,x) , phi ^3), we prove asymptotic expansions for the solution globally in the spacetime. In the special case of compact spatial regions, solutions exhibit the asymptotic behavior (phi (t, x) = c , t^{-2} + mathcal {O}(t^{-3+})). For higher-order nonlinearities (a(t,x) , phi ^p) with (p ge 4), we prove the solution satisfies (phi (t, x) = d , t^{-3} + mathcal {O}(t^{-4+})), thereby extending the classical Price’s law (a late-time tail postulated in 1972) to nonlinear settings in a precise fashion. These results sharpen previous decay estimates for nonlinear waves. We develop a radiation field expansion and a low-energy resolvent expansion adapted to conormal asymptotic inputs, extending Hintz’s approach for linear waves to the semilinear setting. Our methods connect geometric microlocal analysis (b-calculus) with classical physical-space techniques, providing a convenient tool for analyzing asymptotic behavior of nonlinear waves.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-026-01264-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148926685","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}

引用次数: 0

Egorov-type semiclassical limits for open quantum systems with a bi-Lindblad structure 双lindblad结构开放量子系统的egorov型半经典极限

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-08-27 DOI: 10.1007/s13324-026-01265-9

Leonardo Colombo, Asier López-Gordón

{"title":"Egorov-type semiclassical limits for open quantum systems with a bi-Lindblad structure","authors":"Leonardo Colombo, Asier López-Gordón","doi":"10.1007/s13324-026-01265-9","DOIUrl":"10.1007/s13324-026-01265-9","url":null,"abstract":"<div>This paper develops a bridge between bi-Hamiltonian structures of Poisson–Lie type, contact Hamiltonian dynamics, and the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) formalism for open quantum systems. On the classical side, we consider bi-Hamiltonian systems defined by a Poisson pencil with non-trivial invariants. Using an exact symplectic realization, these invariants are lifted and projected onto a contact manifold, yielding a completely integrable contact Hamiltonian system and a Jacobi-commutative algebra of observables. On the quantum side, we introduce a class of contact-compatible Lindblad generators: GKSL evolutions whose dissipative part preserves a commutative (C^*)-subalgebra generated by the quantizations of the classical dissipated quantities, and whose Hamiltonian part admits an Egorov-type semiclassical limit to the contact dynamics. This construction provides a mathematical mechanism compatible with the semiclassical limit for pure dephasing, compatible with integrability and contact dissipation. An explicit Poisson–Lie pencil, inspired by deformed Euler top models, is developed as a fully worked-out example illustrating the resulting bi-Lindblad structure and its semiclassical behavior.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-026-01265-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838034","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}

引用次数: 0

Egorov-type semiclassical limits for open quantum systems with a bi-Lindblad structure 双lindblad结构开放量子系统的egorov型半经典极限

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-08-27 DOI: 10.1007/s13324-026-01265-9

Leonardo Colombo, Asier López-Gordón

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引用次数: 0

Hölder continuity and composition operators in pluriharmonic Bloch spaces Hölder多谐Bloch空间中的连续性和复合算子

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-08-24 DOI: 10.1007/s13324-026-01258-8

Jie Huang, Suman Das, Antti Rasila

引用次数: 0

Hölder continuity and composition operators in pluriharmonic Bloch spaces Hölder多谐Bloch空间中的连续性和复合算子

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-08-24 DOI: 10.1007/s13324-026-01258-8

Jie Huang, Suman Das, Antti Rasila

引用次数: 0

Multi-point inequalities for derivatives of rational functions accounting for the configuration of their zeros 有理函数的导数的多点不等式，说明其零点的构型

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-08-20 DOI: 10.1007/s13324-026-01259-7

Iryna Denega, Yaroslav Zabolotnyi

引用次数: 0

Multi-point inequalities for derivatives of rational functions accounting for the configuration of their zeros 有理函数的导数的多点不等式，说明其零点的构型

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-08-20 DOI: 10.1007/s13324-026-01259-7

Iryna Denega, Yaroslav Zabolotnyi

引用次数: 0

Ground state solutions for the nonlinear Schrödinger-Bopp-Podolsky system with periodic potentials 具有周期势的非线性Schrödinger-Bopp-Podolsky系统的基态解

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-08-20 DOI: 10.1007/s13324-026-01263-x

Lin Li, Qiaoyun Jiang, Shangjie Chen, Donal O’Regan

引用次数: 0

Ground state solutions for the nonlinear Schrödinger-Bopp-Podolsky system with periodic potentials 具有周期势的非线性Schrödinger-Bopp-Podolsky系统的基态解

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-08-20 DOI: 10.1007/s13324-026-01263-x

Lin Li, Qiaoyun Jiang, Shangjie Chen, Donal O’Regan

引用次数: 0

Chebyshev’s method for exponential maps 切比雪夫的指数映射法

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-08-19 DOI: 10.1007/s13324-026-01260-0

Subhasis Ghora, Tarakanta Nayak, Soumen Pal, Pooja Phogat

{"title":"Chebyshev’s method for exponential maps","authors":"Subhasis Ghora, Tarakanta Nayak, Soumen Pal, Pooja Phogat","doi":"10.1007/s13324-026-01260-0","DOIUrl":"10.1007/s13324-026-01260-0","url":null,"abstract":"<div>It is proved that the Chebyshev’s method applied to an entire function f is a rational map if and only if (f(z) = p(z) e^{q(z)}), for some polynomials p and q. These are referred to as rational Chebyshev maps, and their fixed points are discussed in this article. It is seen that (infty ) is a parabolic fixed point with multiplicity one bigger than the degree of q. Considering (q(z)=p(z)^n+c), where p is a linear polynomial, (n in mathbb {N}) and c is a non-zero constant, we show that the Chebyshev’s method applied to ( pe^q) is affine conjugate to that applied to (z e^{z^n}). We denote this by (C_n). All the finite extraneous fixed points of (C_n) are shown to be repelling. The Julia set (mathcal {J}(C_n)) of (C_n) is found to be preserved under rotations of order n about the origin. For each n, the immediate basin of 0 is proved to be simply connected. For all (n le 16), we prove that (mathcal {J}(C_n)) is connected. For n even, the non-existence of Herman ring and Siegel disk of (C_n) is proved. Under some additional hypothesis, the same is also proved for odd n. The Newton’s method applied to (ze^{z^n}) is found to be conjugate to a polynomial, and its dynamics is also completely determined.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782522","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}

引用次数: 0