The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains

DOI10.1007/s00020-021-02624-wzbMath1462.35164arXiv2009.08364OpenAlexW3129675734MaRDI QIDQ2664397

Yanyan Li

Publication date: 20 April 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08364

zbMATH Keywords

analytic semigroupWentzell boundary conditionfourth-order differential operatorLipschitz boundaryeventual positivity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for higher-order parabolic equations (35K35) One-parameter semigroups and linear evolution equations (47D06) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (10)

Evolution equations with eventually positive solutions ⋮ EIGENVALUES AND EIGENFUNCTIONS OF THE LAPLACE OPERATOR IN A SQUARE AND IN A CIRCLE WITH A WENTZEL BOUNDARY CONDITION ⋮ Stability of (eventually) positive semigroups on spaces of continuous functions ⋮ Non-Uniqueness of Solutions to Boundary Value Problems with Wentzell Condition ⋮ THE SHOWALTER-SIDOROV AND CAUCHY PROBLEMS FOR THE LINEAR DZEKZER EQUATION WITH WENTZELL AND ROBIN BOUNDARY CONDITIONS IN A BOUNDED DOMAIN ⋮ Spectrum and convergence of eventually positive operator semigroups ⋮ Spectral properties of locally eventually positive operator semigroups ⋮ EVENTUAL POSITIVITY AND ASYMPTOTIC BEHAVIOUR FOR HIGHER-ORDER EVOLUTION EQUATIONS ⋮ Boundary value problems with rough boundary data ⋮ Eventual cone invariance revisited

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