Data di Pubblicazione:
2007
Citazione:
Entropy penalization methods for Hamilton-Jacobi equations / D.A. Gomes, E. Valdinoci. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 215:1(2007), pp. 94-152.
Abstract:
In this paper we present a new entropy penalization problem and we discuss its relations with approximate solutions of Hamilton-Jacobi equations, the convergence of associated discrete schemes, as well as several applications, such as: a generalization of the Hopf-Cole transformation which converts non-linear Hamilton-Jacobi equations into linear evolution equations, the study of fixed point problems, approximation of certain linear evolution equations, and the construction of entropy penalized Mather measures.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Hamilton-Jacobi equations; Mather measures; fixed points; semiconcave functions
Elenco autori:
D.A. Gomes, E. Valdinoci
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