Some Inequalities for Submarkovian Generators and Their Applications to the Perturbation Theory

DOI10.2307/2159980zbMath0807.47028OpenAlexW4252511266MaRDI QIDQ4292221

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Publication date: 1 June 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159980

zbMATH Keywords

inequalityform domain\(L^ p\)-space of generators of submarkovian semigroupsgenerator of a contraction semigroup

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Perturbation theory of linear operators (47A55)

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Existence of the non-constant steady states to a fractional diffusion predator-prey system including Holling type-II functional response ⋮ Semilinear elliptic equations with Dirichlet operator and singular nonlinearities ⋮ On inequalities for symmetric submarkovian operators ⋮ Porous medium equation with nonlocal pressure in a bounded domain ⋮ Existence of weak solutions for a general porous medium equation with nonlocal pressure ⋮ Asymptotic behavior of global solutions of an anomalous diffusion system ⋮ Optimal Hardy inequality for the fractional Laplacian on \(L^p\)

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