Quantitative trace estimates for the Maxwell system in Lipschitz domains
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DOI: 10.1002/mma.7434
Abstract: We develop various quantitative estimates for the anisotropic Maxwell system in Lipschitz domains, with a focus on how the estimates precisely depend on the Lipschitz character of the domain. We pay special attention to trace… read more here.
Keywords: lipschitz domains; maxwell system; system lipschitz; quantitative trace ... See more keywords
The Bi-Laplacian with Wentzell Boundary Conditions on Lipschitz Domains
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DOI: 10.1007/s00020-021-02624-w
Abstract: We investigate the Bi-Laplacian with Wentzell boundary conditions in a bounded domain $$\Omega \subseteq \mathbb {R}^d$$ Ω ⊆ R d with Lipschitz boundary $$\Gamma $$ Γ . More precisely, using form methods, we show that… read more here.
Keywords: wentzell boundary; conditions lipschitz; lipschitz domains; boundary conditions ... See more keywords
Eigenvalue convergence on perturbed Lipschitz domains for elliptic systems with mixed general decompositions of the boundary
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DOI: 10.1016/j.jde.2018.07.027
Abstract: Abstract We consider eigenvalues of an elliptic operator L u = − ∂ ∂ x j ( A i j ∂ u ∂ x i ) where u = ( u 1 , . .… read more here.
Keywords: eigenvalue convergence; convergence perturbed; general decompositions; decompositions boundary ... See more keywords
The Navier–Stokes equations in exterior Lipschitz domains: L -theory
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DOI: 10.1016/j.jde.2020.04.015
Abstract: Abstract We show that the Stokes operator defined on L σ p ( Ω ) for an exterior Lipschitz domain Ω ⊂ R n ( n ≥ 3 ) admits maximal regularity provided that p… read more here.
Keywords: equations exterior; domains theory; stokes equations; lipschitz domains ... See more keywords
Higher dimensional transmission problems for Dirac operators on Lipschitz domains
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DOI: 10.1016/j.jmaa.2019.05.040
Abstract: Abstract Transmission boundary value problems for the time-harmonic Maxwell system, the Helmholtz operator, and the perturbed Dirac operator are formulated, using Clifford algebras, on bounded Lipschitz domains of R m with m ≥ 3 .… read more here.
Keywords: problems dirac; dimensional transmission; higher dimensional; transmission ... See more keywords
Extension of the Günter Derivatives to the Lipschitz Domains and Application to the Boundary Potentials of Elastic Waves
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DOI: 10.1134/s0021894420010150
Abstract: Regularization techniques for the trace and the traction of elastic waves potentials previously built for domains of the class C 2 are extended to the Lipschitz case. In particular, this yields an elementary way to… read more here.
Keywords: extension nter; elastic waves; nter derivatives; lipschitz domains ... See more keywords