The Faber-Krahn inequality for random/nonautonomous parabolic equations

DOI10.3934/cpaa.2005.4.101zbMath1194.35520OpenAlexW1969656350MaRDI QIDQ1779032

Wenxian Shen, Janusz Mierczyński

Publication date: 21 June 2005

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2005.4.101

zbMATH Keywords

Faber-Krahn inequalityprincipal Lyapunov exponentSchwarz symmetrizationprincipal spectrumrecurrent functionSchwarz symmetrized domain

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Estimates of eigenvalues in context of PDEs (35P15) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Spectral theory for general nonautonomous/random dispersal evolution operators ⋮ Persistence in forward nonautonomous competitive systems of parabolic equations ⋮ Estimates for principal Lyapunov exponents: a survey ⋮ Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space

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