The Laplacian with Robin boundary conditions on arbitrary domains

From MaRDI portal
Publication:1404340

DOI10.1023/A:1024181608863zbMath1028.31004OpenAlexW154424400MaRDI QIDQ1404340

Mahamadi Warma, Wolfgang Arendt

Publication date: 21 August 2003

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1024181608863




Related Items

Diffusion determines the manifoldSymmetric inclusion process with slow boundary: hydrodynamics and hydrostaticsHistory and Prospects for First-Order Automated DeductionAn alternative approach to the Faber-Krahn inequality for Robin problemsA class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditionsRegularity in capacity and the Dirichlet LaplacianTransmission problems with nonlocal boundary conditions and rough dynamic interfacesOn a capacity for modular spacesExistence of solutions for semilinear elliptic boundary value problems on arbitrary open setsA quasilinear eigenvalue problem with Robin conditions on the non-smooth domain of finite measureProbabilistic solution of the general Robin boundary value problem on arbitrary domainsPositive solutions for the \(p\)-Laplacian with Robin boundary conditions on irregular domainsStability Results for the Robin-Laplacian on Nonsmooth Domains3D Koch-type crystalsBoundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapesGeneralized boundary triples, II. Some applications of generalized boundary triples and form domain invariant Nevanlinna functionsInverse problems of damped wave equations with Robin boundary conditions: an application to blood perfusionUniqueness of the approximative traceProjections onto convex sets and \(L ^{p }\)-quasi-contractivity of semigroupsThe Saint-Venant inequality for the Laplace operator with Robin boundary conditionsPrincipal eigenvalues for generalised indefinite Robin problemsThe \(p\)-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open setsThe Dirichlet-to-Neumann operator on rough domainsSolvability of linear local and nonlocal Robin problems over \(C (\overline {\varOmega})\)Supersymmetric descendants of self-adjointly extended quantum mechanical HamiltoniansEigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet regionFine regularity for elliptic and parabolic anisotropic Robin problems with variable exponentsExplicit estimates on a mixed Neumann--Robin--Cauchy problemFrom a particle in a box to the uncertainty relation in a quantum dot and to reflecting walls for relativistic fermionsStrict inequality of Robin eigenvalues for elliptic differential operators on Lipschitz domainsA Liouville theorem for \(p\)-harmonic functions on exterior domainsOn the existence of optimal shapes in architectureOn extensions of local Dirichlet formsLong-term behavior of reaction-diffusion equations with nonlocal boundary conditions on rough domainsThe fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open setsResonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restorationRegularity of solutions of linear second order elliptic and parabolic boundary value problems on Lipschitz domainsUnnamed ItemA Faber-Krahn inequality for Robin problems in any space dimensionRealization of the fractional Laplacian with nonlocal exterior conditions via forms methodA variational approach to the isoperimetric inequality for the Robin eigenvalue problemLattice homomorphisms between Sobolev spacesExistence of solutions to quasi-linear elliptic problems with generalized Robin boundary conditionsLocality and domination of semigroupsApproximate and mean approximate controllability properties for Hilfer time-fractional differential equationsHeat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditionsPlummeting and blinking eigenvalues of the Robin Laplacian in a cuspidal domainGeneralized nonlocal Robin Laplacian on arbitrary domainsOn traces of Sobolev functions on the boundary of extension domainsA priori estimates for a class of quasi-linear elliptic equationsThe heat equation with nonlinear generalized Robin boundary conditionsNonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalitiesDoubly Feller property of Brownian motions with Robin boundary conditionQuasi-reversibility methods of optimal control for ill-posed final value diffusion equationsRemovable singularities for a Sobolev spaceGlobal regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domainsSemilinear elliptic equations on rough domains