Entropy penalization methods for Hamilton-Jacobi equations

DOI10.1016/j.aim.2007.04.001zbMath1119.70013OpenAlexW1980072999MaRDI QIDQ2381959

Diogo Aguiar Gomes, Enrico Valdinoci

Publication date: 26 September 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2007.04.001

zbMATH Keywords

fixed pointssemiconcave functionsMather measures

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20)

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Cites Work

• Viscosity solution methods and the discrete Aubry-Mather problem
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
• Action minimizing invariant measures for positive definite Lagrangian systems
• On the zero-temperature or vanishing viscosity limit for certain Markov processes arising from Lagrangian dynamics
• Metric Hopf-Lax formula with semicontinuous data
• Error estimates for the approximation of the effective Hamiltonian
• User’s guide to viscosity solutions of second order partial differential equations
• The Variational Formulation of the Fokker--Planck Equation
• A survey of entropy methods for partial differential equations
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