Maxwell operator in regions with nonsmooth boundaries
From MaRDI portal
Publication:1109233
DOI10.1007/BF00970204zbMath0655.35067OpenAlexW2068837469MaRDI QIDQ1109233
Michael Solomyak, Mikhail Sh. Birman
Publication date: 1987
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00970204
Dirichlet problemspectrumPoisson equationextensionNeumann problemself-adjointLipschitz boundaryMaxwell's operatororthogonal Weil expansions
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)
Related Items
WELL-POSEDNESS OF THE DRUDE–BORN–FEDOROV MODEL FOR CHIRAL MEDIA, Variational methods for solving numerically magnetostatic systems, Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities, Regularity of electromagnetic fields in convex domains, Construction in a piecewise smooth domain of a function of the class \(H^ 2\) from the value of the conormal derivative, Smoothness of weak solutions of boundary-value problems for equations of Chaplygin type, A NEW COMPACTNESS RESULT FOR ELECTROMAGNETIC WAVES: APPLICATION TO THE TRANSMISSION PROBLEM BETWEEN DIELECTRICS AND METAMATERIALS, Weyl asymptotics for the spectrum of the Maxwell operator in Lipschitz domains of arbitrary dimension, \(T\)-coercivity: application to the discretization of Helmholtz-like problems, Solving Maxwell equations in 3D prismatic domains, On the approximation of electromagnetic fields by edge finite elements. I: Sharp interpolation results for low-regularity fields, On the mathematical work of Mikhail Zakharovich Solomyak, Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable, A diffraction problem for electromagnetic field in free space, On the mathematical work of M. Sh. Birman, Singular electromagnetic fields: inductive approach
Cites Work