Revistes Catalanes amb Accés Obert (RACO)

Solutions de viscosité des equations de Hamilton-Jacobi en dimension infinie. Cas stationnaire

E. M. El Haddad

Resum


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.

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