The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions

DOI10.1137/16M1065951zbMath1347.35015arXiv1511.06697OpenAlexW2964024363MaRDI QIDQ2817449

Dirk Pauly, Michael Schomburg, Sebastian Bauer

Publication date: 31 August 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06697

zbMATH Keywords

weighted Sobolev spacesFredholm alternativeHelmholtz decompositionvector potentialselectromagneto staticMaxwell compactness propertyMaxwell estimate

Mathematics Subject Classification ID

Maxwell equations (35Q61) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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