Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations
Open Access
- 5 June 2007
- journal article
- research article
- Published by EDP Sciences in ESAIM: Control, Optimisation and Calculus of Variations
- Vol. 13 (3) , 484-502
Abstract
In this paper we prove a comparison result between semicontinuous viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form in 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.Keywords
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