A remark on a compactness result in electromagnetic theory
From MaRDI portal
Publication:4033808
DOI10.1002/mma.1670160205zbMath0778.35105OpenAlexW1985321423MaRDI QIDQ4033808
Publication date: 16 May 1993
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1670160205
PDEs in connection with optics and electromagnetic theory (35Q60) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Electromagnetic theory (general) (78A25)
Related Items
ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO MAXWELL'S EQUATIONS IN BOUNDED DOMAINS WITH APPLICATION TO MAGNETOTELLURICS, On Korn's first inequality for mixed tangential and normal boundary conditions on bounded Lipschitz domains in \(\mathbb R^N\), On the homogenization of partial integro-differential-algebraic equations, Smoothed projections and mixed boundary conditions, Some remarks on the characterization of the space of tangential traces of \(H(\text{rot}; \Omega)\) and the construction of an extension operator, A note on elliptic type boundary value problems with maximal monotone relations, A compactness result for the div-curl system with inhomogeneous mixed boundary conditions for bounded Lipschitz domains and some applications, Explicit div-curl inequalities in bounded and unbounded domains of \({{\mathbb {R}}}^3\), Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments, On the Maxwell constants in 3D, Hilbert complexes with mixed boundary conditions part 1: de Rham complex, Hilbert complexes with mixed boundary conditions—Part 2: Elasticity complex, On a canonical extension of Korn's first and Poincaré's inequalities to \(\mathsf{H}(\mathrm{Curl})\), On constants in Maxwell inequalities for bounded and convex domains, New directions in computational modelling, Low Frequency Asymptotics and Electro-Magneto-Statics for Time-Harmonic Maxwell's Equations in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions, A compactness result for vector fields with divergence and curl in Lq(ω) involving mixed boundary conditions, Two-sided a posteriori error bounds for electro-magnetostatic problems, On Maxwell's and Poincaré's constants, A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem, The divDiv-complex and applications to biharmonic equations, Regularity results for generalized electro-magnetic problems, Unique solvability for high-frequency heterogeneous time-harmonic Maxwell equations via the Fredholm alternative theory, Poincaré meets Korn via Maxwell: extending Korn's first inequality to incompatible tensor fields, Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds, A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains, The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions, Well-posedness for a general class of differential inclusions, A global div-curl-lemma for mixed boundary conditions in weak Lipschitz domains and a corresponding generalized \(A_0^*\)-\(A_1\)-lemma in Hilbert spaces, On the Maxwell and Friedrichs/Poincaré constants in ND, On Korn's first inequality for tangential or normal boundary conditions with explicit constants
Cites Work
