Hopf-Lax type formulas and hypercontractivity

DOI10.1007/s11587-008-0036-7zbMath1232.35031OpenAlexW2056938981MaRDI QIDQ661122

Antonio Avantaggiati, Paola Loreti

Publication date: 18 February 2012

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-008-0036-7

zbMATH Keywords

Hamilton-Jacobi equationslogarithmic Sobolev inequalitieshypercontractivityHopf-Lax formula

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Inequalities for sums, series and integrals (26D15) Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items

Lax type formulas with lower semicontinuous initial data and hypercontractivity results ⋮ Morphological counterpart of Ornstein-Uhlenbeck semigroups and PDEs ⋮ Hopf-Lax type formulas and hypercontractivity

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