In this paper we prove a comparison result between viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form u_t+H(x,Du)=0 in R^Nx(0,T) where the Hamiltonian H may be noncoercive in the gradient Du. As a consequence of the comparison result and the Perron's method we get the existence of a continuous solution of this equation.

Cutri', A., Da Lio, F. (2007). Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations. ESAIM. COCV, 13, 484-502 [10.1051/cocv:2007021].

Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations

CUTRI', ALESSANDRA;
2007-01-01

Abstract

In this paper we prove a comparison result between viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form u_t+H(x,Du)=0 in R^Nx(0,T) where the Hamiltonian H may be noncoercive in the gradient Du. As a consequence of the comparison result and the Perron's method we get the existence of a continuous solution of this equation.
2007
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
Con Impact Factor ISI
Cutri', A., Da Lio, F. (2007). Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations. ESAIM. COCV, 13, 484-502 [10.1051/cocv:2007021].
Cutri', A; Da Lio, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/34741
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