Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes
DOI10.3233/asy-231825arXiv2111.01280MaRDI QIDQ6073827
Michael Hinz, Anna Rozanova-Pierrat, Alexander Teplyaev
Publication date: 18 September 2023
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.01280
Mosco convergencePoincaré inequalitiesoptimal shapesnorm resolvent convergencefractal boundariesRobin problemsnonlinear Westervelt equation
Hydro- and aero-acoustics (76Q05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Optimization of shapes other than minimal surfaces (49Q10) Weak solutions to PDEs (35D30) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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