Resumen de Solutions de viscosité des equations de Hamilton-Jacobi en dimension infinie: cas stationnaire
El Mahjoub El Haddad
We show the uniqueness and the existence of viscosity solutions of Hamilton-Jacobi equations on a smooth Banach spaces. The tool used is the variational principle of Deville, Godefroy and Zizler. The existence is given by Perron's method. So we give a comparaison assertion for semicontinuous solutions.
