Lax type formulas with lower semicontinuous initial data and hypercontractivity results

DOI10.1007/s00030-012-0157-2zbMath1275.35079OpenAlexW2087650889MaRDI QIDQ354353

Antonio Avantaggiati, Paola Loreti

Publication date: 19 July 2013

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-012-0157-2

zbMATH Keywords

functional inequalitieslogarithm Sobolev inequalities

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21)

Related Items (3)

Morphological counterpart of Ornstein-Uhlenbeck semigroups and PDEs ⋮ Hopf-Lax formula and generalized characteristics ⋮ The Hopf-Lax formula for multiobjective costs with non-constant discount via set optimization

Cites Work

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• Hypercontractivity of Hamilton-Jacobi equations.
• Comment on ``Hypercontractivity of Hamilton-Jacobi equations by S. G. Bobkov, I. Gentil and M. Ledoux.
• Ultracontractive bounds on Hamilton-Jacobi solutions
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Hopf-Lax formulas for semicontinuous data

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