Solutions de viscosité des equations de Hamilton-Jacobi en dimension infinie. Cas stationnaire.
El Haddad, El Mahjoub
Publicacions Matemàtiques, Tome 39 (1995), p. 173-185 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1995-01-01
DMLE-ID : 3757 
@article{urn:eudml:doc:41214,
     title = {Solutions de viscosit\'e des equations de Hamilton-Jacobi en dimension infinie. Cas stationnaire.},
     journal = {Publicacions Matem\`atiques},
     volume = {39},
     year = {1995},
     pages = {173-185},
     mrnumber = {MR1336362},
     zbl = {0849.49020},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41214}
}

El Haddad, El Mahjoub. Solutions de viscosité des equations de Hamilton-Jacobi en dimension infinie. Cas stationnaire.. Publicacions Matemàtiques, Tome 39 (1995) pp. 173-185. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41214/