Zur Existenz des Wellenoperators bei Anfangsrandwertproblemen vom Maxwell-Typ

DOI10.1007/BF01178762zbMath0346.35087OpenAlexW2074644471MaRDI QIDQ1233573

Rainer Picard

Publication date: 1977

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172578

zbMATH Keywords

energy estimatesacousticswave operatorelectromagnetic problemsexistence, completenessinitial-boundary value problem of Maxwell type

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Hydro- and aero-acoustics (76Q05)

Related Items

Eigensolution expansions for generalized maxwell fields on c^0,1manifolds with boundary, A compactness result for vector fields with divergence and curl in L^q(ω) involving mixed boundary conditions, A local compactness theorem for Maxwell's equations, On convergence and error estimates for the horizontal line method applied to Maxwell's initial boundary problem in anisotropic, inhomogeneous media, Some remarks on the horizontal line method, Self-adjoint extensions of the Laplace operator with respect to electric and magnetic boundary conditions, Außenraumaufgaben in der linearen Elastizitätstheorie, Über das asymptotische Verhalten thermoelastischer Wellen im R³, Error estimates for the finite element approximation to a maxwell-type boundary value problem, Regularity theorems for Maxwell's equations

Cites Work

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• Ein randwertproblem für die zeitunabhängigen maxwellschen gleichungen mit der randbedingung n.ϵE=n.μH=0 in beschränkten gebieten belsebigen zusammenhangs