Results 131 to 140 of about 9,328 (235)
Standing waves of nonlinear Schrödinger systems with all attractive forces
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of n$n$ components with interaction forces aij$a_{ij}$ between the i$i$‐th and j$j$‐th components for 1⩽i,j⩽n$1\leqslant i,j\leqslant n$, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are
Jaeyoung Byeon
wiley +1 more source
Existence of solutions to Burgers equations in domains that can be transformed into rectangles
Electronic Journal of Differential Equations, 2016 This work is concerned with Burgers equation $\partial _{t}u+u\partial_x u-\partial _x^2u=f$ (with Dirichlet boundary conditions) in the non rectangular domain $\Omega =\{(t,x)\in R^2 ...
Yassine Benia, Boubaker-Khaled Sadallah
doaj
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8044-8060, 30 May 2026.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Two-term Szegő theorem for generalised anti-Wick operators
, 2015 This thesis concerns operators whose Weyl pseudodifferential operator symbol is the convolution of a function that is smooth and of fixed scale with a function that is discontinuous and dilated by a large asymptotic parameter.
Oldfield, JP
core
Compactness of the canonical solution operator on Lipschitz q-pseudoconvex boundaries
Electronic Journal of Differential Equations, 2019 Let $\Omega\subset\mathbb{C}^n$ be a bounded Lipschitz q-pseudoconvex domain that admit good weight functions. We shall prove that the canonical solution operator for the $\overline{\partial}$-equation is compact on the boundary of $\Omega$ and is ...
Sayed Saber
doaj
A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D
International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
wiley +1 more source
Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrodinger equation
Electronic Journal of Differential Equations, 2009 In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schrodinger equation in all dimensions based on the recent linear profile decomposition result.
Shuanglin Shao
doaj
, 2009 This thesis consists of three articles on Orlicz-Sobolev capacities. Capacity is a set function which gives information of the size of sets. Capacity is useful concept in the study of partial differential equations, and generalizations of exponential ...
Joensuu, Jani
core
Trace theory for parabolic boundary value problems with rough boundary conditions. [PDF]
J Evol EquDenk R, Roodenburg FB.
europepmc +1 more source