Existence results for first order Hamilton Jacobi equations
G. Barles (1984)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations”
Existence results for first order Hamilton Jacobi equations
An approach of deterministic control problems with unbounded data
G. Barles (1990)
Annales de l'I.H.P. Analyse non linéaire
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Geometric restrictions for the existence of viscosity solutions
P. Cardaliaguet, B. Dacorogna, W. Gangbo, N. Georgy (1999)
Annales de l'I.H.P. Analyse non linéaire
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The relation between the porous medium and the eikonal equations in several space dimensions.
Pierre-Louis Lions, Panagiotis E. Souganidis, Juan Luis Vázquez (1987)
Revista Matemática Iberoamericana
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We study the relation between the porous medium equation ut = Δ(um), m > 1, and the eikonal equation vt = |Dv|2. Under quite general assumtions, we prove that the pressure and the interface of the solution of the Cauchy problem for the porous medium equation converge as m↓1 to the viscosity solution and the interface of the Cauchy problem for the eikonal equation. We also address the same...
On the Dirichlet problem for nonlinear degenerate elliptic equations and applications to optimal control.
Bardi, M., Bottacin, S. (1998)
Rendiconti del Seminario Matematico
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Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations
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 in 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.