Results 111 to 120 of about 2,233 (221)

Lq-differentials for weighted Sobolev spaces.

Michigan Mathematical Journal, 2000
The author generalizes the well known theorem (Calderón, Zygmund) about \(L^q\)-differentials of Sobolev functions to functions from weighted Sobolev spaces.
openaire   +2 more sources

Stable factorization of the Calderón problem via the Born approximation

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé, Fabricio Macià, Cristóbal Meroño, François Nicoleau   +3 more
wiley   +1 more source

A strong quantitative form of the fractional isoperimetric inequality

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We show a strong version of the fractional quantitative isoperimetric inequality, in which the isoperimetric deficit controls not only the Fraenkel asymmetry but also a sort of oscillation of the boundary. This generalizes the local result by Fusco and Julin in [22].
Eleonora Cinti, Enzo Maria Merlino, Berardo Ruffini   +2 more
wiley   +1 more source

On the periodic KdV equation in weighted Sobolev spaces

, 2009
We prove well-posedness results for the initial value problem of the periodic KdV equation as well as Kam type results in classes of high regularity solutions.
Pöschel, J, Jürgen Pöschel, Kappeler, T, PöSchel, JüRgen, Thomas Kappeler, Kappeler, Thomas   +5 more
core   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

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, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Jumping nonlinearities and weighted Sobolev spaces

, 2005
Working in a weighted Sobolev space, a new result involving jumping nonlinearities for a semilinear elliptic boundary value problem in a bounded domain in RN is established. The nonlinear part of the equation is assumed to grow at most linearly and to be
Rumbos, Adolfo J., Shapiro, Victor L.
core   +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, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Fractional Calculus of Fractal Functions on Weighted Sobolev Spaces

Fractal and Fractional
In this article, the α-fractal interpolation function fα corresponding to any function f belonging to the weighted Sobolev space Wρr,2(I) is defined. The convergence of sequences of α-fractal interpolation functions corresponding to mappings in Wρr,2(I ...
Md. Nazimul Islam, Imrul Kaish, Md. Nasim Akhtar, María A. Navascués   +3 more
doaj   +1 more source

Harmonic vibration of cusped plates in the N-th approximation of Vekua’s hierarchical models

Archives of Mechanics, 2013
In this paper elastic cusped symmetric prismatic shells (i.e., plates of variable thickness with cusped edges) in the N-th approximation of Vekua’s hierarchical models are considered.
N. Chinchaladze
doaj   +1 more source

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