Results 151 to 160 of about 6,303,122 (262)

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson, Janne Nurminen, Mikko Salo   +2 more
wiley   +1 more source

Hypoellipticity of analytic differential operators in general ultradifferentiable classes. [PDF]

J Pseudodiffer Oper Appl
Fürdös S.
europepmc   +1 more source

Long‐time asymptotics of a full soliton gas for the Camassa–Holm equation

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We investigate the long‐time asymptotics of a full soliton gas for the Camassa–Holm equation. The analysis starts from a pure‐soliton Riemann–Hilbert (RH) problem with 2N$2N$ poles and two distinct types of residue conditions. We prove that, as N→∞$N\rightarrow \infty$, this discrete RH problem converges to a limiting soliton gas RH problem ...
Dedi Yan, Xianguo Geng, Minxin Jia
wiley   +1 more source

Exact solutions and instability analysis of a fifth-order nonlinear evolution equation exhibiting multi-scale wave structures. [PDF]

Sci Rep
Hasan WM, Ahmed HM, Ahmed AM, Rezk HM, Rabie WB.   +4 more
europepmc   +1 more source

The mod 2 Seiberg–Witten invariants of spin structures and spin families

Journal of Topology, Volume 19, Issue 4, December 2026.
Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
wiley   +1 more source

An Inverse Signorini Obstacle Problem. [PDF]

Arch Ration Mech Anal
de Hoop MV, Lassas M, Lu J, Oksanen L, Zhao Z.   +4 more
europepmc   +1 more source

Optimal Design of Elastic Plates: Hybrid Numerical Method Based on Homogenization and Shape Derivative

Mathematical Methods in the Applied Sciences, Volume 49, Issue 17, Page 17793-17815, 30 November 2026.
ABSTRACT This paper focuses on optimal design problems in the context of the Kirchhoff‐Love model for pure bending of a thin, solid, symmetric plate under a transverse load. The objective is to simultaneously determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain in order to minimize compliance.
Ivana Crnjac, Jelena Jankov Pavlović, Petar Kunštek   +2 more
wiley   +1 more source

Structural identifiability of constitutive relations from indirect field observations. [PDF]

PNAS Nexus
Ju YS.
europepmc   +1 more source

Tensor‐Train Compression of a Volume Integral Eddy Current Problem in Discontinuous Galerkin

International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.
ABSTRACT The paper presents a low‐rank tensor compression strategy based on the tensor‐train (TT) format for the integral operator arising in eddy current problems. Unlike classical matrix compression techniques such as the fast multipole method (FMM) or hierarchical matrices (ℋ$$ \mathscr{H} $$‐matrices), which typically compress only far‐field ...
Anthony Torosyan, Bertrand Bannwarth, Olivier Chadebec, Jean‐Michel Guichon, Gérard Meunier, Jean‐René Poirier   +5 more
wiley   +1 more source

A theoretical description of the tree cricket ear as a highly phase sensitive biomechanical interferometer. [PDF]

iScience
Celiker E, Sutton GP, Mhatre N.
europepmc   +1 more source