Viscosity solutions of infinite-dimensional Hamilton-Jacobi equations. Stationary case

El Mahjoub El Haddad

Publicacions Matemàtiques (1995)

  • Volume: 39, Issue: 1, page 173-185
  • ISSN: 0214-1493

Abstract

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We show the uniqueness and the existence of viscosity solutions of Hamilton-Jacobi equations on a smooth Banach space. The tool used is the variational principle of Deville, Godefroy and Zizler. The existence is given by Perron’s method. So we give a comparison assertion for semicontinuous solutions.

How to cite

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El Haddad, El Mahjoub. "Solutions de viscosité des equations de Hamilton-Jacobi en dimension infinie. Cas stationnaire.." Publicacions Matemàtiques 39.1 (1995): 173-185. <http://eudml.org/doc/41214>.

@article{ElHaddad1995,
author = {El Haddad, El Mahjoub},
journal = {Publicacions Matemàtiques},
keywords = {Mecánica de fluidos; Viscosidad; Espacios de Banach; Infinito; Régimen permanente; viscosity solutions; Hamilton-Jacobi equations; semicontinuous solutions},
language = {fre},
number = {1},
pages = {173-185},
title = {Solutions de viscosité des equations de Hamilton-Jacobi en dimension infinie. Cas stationnaire.},
url = {http://eudml.org/doc/41214},
volume = {39},
year = {1995},
}

TY - JOUR
AU - El Haddad, El Mahjoub
TI - Solutions de viscosité des equations de Hamilton-Jacobi en dimension infinie. Cas stationnaire.
JO - Publicacions Matemàtiques
PY - 1995
VL - 39
IS - 1
SP - 173
EP - 185
LA - fre
KW - Mecánica de fluidos; Viscosidad; Espacios de Banach; Infinito; Régimen permanente; viscosity solutions; Hamilton-Jacobi equations; semicontinuous solutions
UR - http://eudml.org/doc/41214
ER -

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