Sub-Gaussian measures and associated semilinear problems

zbMath1248.35227MaRDI QIDQ427924

Pierre Fougères, Cyril Roberto, Bogusław Zegarliński

Publication date: 18 June 2012

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

zbMATH Keywords

semilinear parabolic problemsinfinite dimensions\(F\)-Sobolev inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Asymptotic behavior of solutions to PDEs (35B40) Weak solutions to PDEs (35D30) Inequalities involving derivatives and differential and integral operators (26D10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (4)

Hypercontractivity for Markov semi-groups ⋮ Linear and nonlinear dissipative dynamics ⋮ Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality ⋮ From \(U\)-bounds to isoperimetry with applications to H-type groups

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