An approach of deterministic control problems with unbounded data

G. Barles

Displaying similar documents to “An approach of deterministic control problems with unbounded data”

Existence results for first order Hamilton Jacobi equations

G. Barles (1984)

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Geometric restrictions for the existence of viscosity solutions

P. Cardaliaguet, B. Dacorogna, W. Gangbo, N. Georgy (1999)

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A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations

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Alessandra Cutrì, Francesca Da Lio (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we prove a comparison result between semicontinuous viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form $u_{t} + H (x, D u) = 0$ in $I R^{n} \times (0, T)$ where the Hamiltonian may be noncoercive in the gradient As a consequence of the comparison result and the Perron's method we get the existence of a continuous solution of this equation.