Analysis and Mathematical Physics最新文献_第10页

Novel properties of the Birman-Schwinger operator of the one-dimensional Coulomb Hamiltonian 一维库仑哈密顿算符的Birman-Schwinger算子的新性质

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-30 DOI: 10.1007/s13324-026-01217-3

S. Fassari, M. Gadella, F. Rinaldi

引用次数: 0

The Robin problem for the anisotropic (vec {p}(x))-Laplacian equation in a domain with boundary conical points. 具有边界圆锥点的各向异性(vec {p}(x)) -拉普拉斯方程的Robin问题。

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-27 DOI: 10.1007/s13324-026-01213-7

Mikhail Borsuk

引用次数: 0

Note on the multiplicity of solutions for nonlinear scalar field equations with a critical inverse-square potential 具有临界平方反比势的非线性标量场方程解的多重性

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-25 DOI: 10.1007/s13324-026-01219-1

Bartosz Bieganowski, Daniel Strzelecki

引用次数: 0

Schrödinger operators with concentric (delta )–shell interactions 具有同心(delta ) -壳相互作用的Schrödinger操作符

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-25 DOI: 10.1007/s13324-026-01191-w

Masahiro Kaminaga

{"title":"Schrödinger operators with concentric (delta )–shell interactions","authors":"Masahiro Kaminaga","doi":"10.1007/s13324-026-01191-w","DOIUrl":"10.1007/s13324-026-01191-w","url":null,"abstract":"<div><p>We study Schrödinger operators on <span>(mathbb {R}^3)</span> with finitely many concentric spherical <span>(delta )</span>–shell interactions. The operators are defined via quadratic forms and characterized by continuity across each shell together with the standard jump condition for the normal derivative. A particular feature of the present work is that the resolvent representation is obtained in a fully three–dimensional boundary integral formulation that allows for finitely many shells with surface strengths <span>(alpha _j)</span> that may vary along each shell and are assumed to be bounded real–valued functions, rather than relying on a reduction to radial one–dimensional problems. Using a boundary integral approach based on the free Green kernel and single–layer potentials, we derive an explicit resolvent formula for an arbitrary number of shells with bounded coupling strengths. This yields a concrete Kreĭn–type representation and a boundary operator whose noninvertibility characterizes the discrete spectrum, and it is compatible with partial–wave reduction under rotational symmetry. We then specialize to the two–shell case with constant couplings and obtain a detailed description of the negative spectrum. In particular, we prove that the ground state, when it exists, lies in the <i>s</i>–wave sector and derive an explicit secular equation for bound states. For large shell separation, each bound level approaches the corresponding single–shell level with exponentially small corrections, while a genuine tunneling splitting appears when the single–shell levels are tuned to coincide. As a simple calibration, we relate the two–shell parameters to representative core–shell quantum dot scales and identify the qualitative distinction between Type I and Type II configurations.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-026-01191-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009938","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

Ground state solution for a critical Schrodinger equation involving the fractional p-Laplacian operator and potential term 包含分数阶p-拉普拉斯算子和势项的临界薛定谔方程的基态解

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-25 DOI: 10.1007/s13324-026-01218-2

Khalid Bouabid, Rachid Echarghaoui, Zakaria Zaimi

引用次数: 0

On Minimal Surfaces Through the Lens of Univalent Harmonic Mappings 单价调和映象透镜下的极小曲面

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-23 DOI: 10.1007/s13324-026-01212-8

Jasbir Parashar, Anbareeswaran Sairam Kaliraj

引用次数: 0

Accurate Coiflet wavelet solution of the generalized Burgers-Huxley equation using the wavelet-homotopy analysis approach 用小波同伦分析方法求解广义Burgers-Huxley方程的Coiflet精确小波解

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-21 DOI: 10.1007/s13324-026-01214-6

Hui Wang

{"title":"Accurate Coiflet wavelet solution of the generalized Burgers-Huxley equation using the wavelet-homotopy analysis approach","authors":"Hui Wang","doi":"10.1007/s13324-026-01214-6","DOIUrl":"10.1007/s13324-026-01214-6","url":null,"abstract":"<div><p>This paper introduces a systematic application of the Wavelet-Homotopy Analysis Method (WHAM) for solving the generalized Burgers-Huxley (gB-H) equation, a canonical model that synthesizes nonlinear advection, diffusion, and reaction mechanisms. The proposed WHAM framework integrates boundary-corrected Coiflet wavelets for multiresolution spatial representation with the convergence-controllable homotopy analysis method. A fourth-order Runge-Kutta scheme (RK4) is employed for temporal evolution, enhancing overall accuracy and stability. A rigorous convergence analysis is provided, quantitatively addressing errors from spatial discretization, temporal integration, and the homotopy series. Comprehensive numerical experiments demonstrate that WHAM achieves superior accuracy and long-term stability compared to conventional wavelet-Galerkin (WG) methods, while the associated computational overhead is quantitatively presented and discussed. Notably, the convergence-control parameter offers an effective mechanism for optimizing solution accuracy. The results validate WHAM as a high-order accurate, boundary-aware, and convergence-controllable framework, underscoring its significant potential for analyzing other complex nonlinear evolutionary systems characterized by rogue and shock waves.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009260","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

Analysis of quasi-planar defects using the Thomas–Fermi–von Weizsäcker model 基于Thomas-Fermi-von Weizsäcker模型的准平面缺陷分析

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-21 DOI: 10.1007/s13324-026-01208-4

Dharamveer Kumar, Amuthan A. Ramabathiran

{"title":"Analysis of quasi-planar defects using the Thomas–Fermi–von Weizsäcker model","authors":"Dharamveer Kumar, Amuthan A. Ramabathiran","doi":"10.1007/s13324-026-01208-4","DOIUrl":"10.1007/s13324-026-01208-4","url":null,"abstract":"<div><p>We analyze the convergence of the electron density and relative energy with respect to a perfect crystal of a class of volume defects that are compactly contained along one direction while being of infinite extent along the other two using the Thomas–Fermi–von Weizsäcker (TFW) model. We take advantage of prior work on the thermodynamic limit and stability estimates in the TFW setting, and specialize it to the case of quasi-planar defects. In particular, we prove that the relative energy of the defective crystal with respect to a perfect crystal is finite, and in fact conforms to a well-posed minimization problem. In order to show the existence of the minimization problem, we modify the TFW theory for thin films and establish convergence of the electronic fields due to the perturbation caused by the quasi-planar defect. We also show that perturbations to both the density and electrostatic potential due to the presence of the quasi-planar defect decay exponentially away from the defect, in agreement with the known locality property of the TFW model. We use these results to infer bounds on the generalized stacking fault energy, in particular the finiteness of this energy, and discuss its implications for numerical calculations. We conclude with a brief presentation of numerical results on the (non-convex) Thomas-Fermi-von Weizsäcker-Dirac (TFWD) model that includes the Dirac exchange in the universal functional, and discuss its implications for future work.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009262","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

Fixed Point Results for multi-valued Mappings with Closed Graphs in Generalized Banach Spaces 广义Banach空间中闭图多值映射的不动点结果

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-21 DOI: 10.1007/s13324-026-01209-3

Khaled Ben Amara, Aref Jeribi, Najib Kaddachi

引用次数: 0

The maximal function on spaces of homogeneous type, or adjacent dyadic cubes do good 在齐次型空间或相邻二进立方体空间上的极大函数都有很好的效果

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2026-05-21 DOI: 10.1007/s13324-026-01215-5

Alina Shalukhina

引用次数: 0