Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains

DOI10.1007/s00526-022-02357-7zbMath1501.49010arXiv2203.04004OpenAlexW4308314469WikidataQ115385830 ScholiaQ115385830MaRDI QIDQ2093433

Matteo Fornoni, Luca Rondi

Publication date: 8 November 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.04004

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Scattering theory for PDEs (35P25) Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements
• A variational approach to the reconstruction of cracks by boundary measurements
• A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problems
• Scattering theory for the d'Alembert equation in exterior domains
• Approximation of free-discontinuity problems
• An introduction to \(\Gamma\)-convergence
• Inverse acoustic and electromagnetic scattering theory.
• A stability result for nonlinear Neumann problems under boundary variations
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems
• Stability for the acoustic scattering problem for sound-hard scatterers
• The stability for the Cauchy problem for elliptic equations
• On the low wave number asymtotics for the two-dimensional exterior dirichlet problem for the reduced wave equation
• Continuity of neumann linear elliptic problems on varying two—dimensional bounded open sets
• Unique determination of non-smooth sound-soft scatterers by finitely many far-field measurements
• Stabilité de la solution d'un problème de Neumann pour des variations de frontière
• ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS
• A Friedrichs–Maz'ya inequality for functions of bounded variation
• Sobolev Spaces

This page was built for publication: Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains