The aim of this paper is twofold. We construct an extension to a non-integrable case of Hopf’s formula, often used to produce viscosity solutions of Hamilton-Jacobi equations for p-convex integrable Hamiltonians. Further- more, for a general class of p-convex Hamiltonians, we present a proof of the equivalence of the minimax solution with the viscosity solution.

Minimax and viscosity solutions of Hamilton-Jacobi equations in the convex case.

BERNARDI, OLGA;CARDIN, FRANCO
2006

Abstract

The aim of this paper is twofold. We construct an extension to a non-integrable case of Hopf’s formula, often used to produce viscosity solutions of Hamilton-Jacobi equations for p-convex integrable Hamiltonians. Further- more, for a general class of p-convex Hamiltonians, we present a proof of the equivalence of the minimax solution with the viscosity solution.
2006
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2469672
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