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•First •Prev •Next •Last •Go Back •Full Screen •Close •Quit Laboratoire de Mathematiques et Physique Theorique (UMR 6083) Federation Denis Poisson On the Generalized Dirichlet Problem for Viscous Hamilton-Jacobi Equations G. Barles (work in collaboration with F. Da Lio) France - Taiwan joint Conference on Nonlinear Partial Differential Equations CIRM (Marseille, France), March 25 to 28, 2008

  • solution past

  • viscous hamilton-jacobi

  • again no

  • dirichlet problem

  • generalized dirichlet


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Laboratoire de Math´matiques et
Physique Th´orique (UMR 6083)
F´d´ration Denis Poisson

On the Generalized Dirichlet Problem for Viscous
Hamilton-Jacobi Equations

G. Barles
(work in collaboration with F. Da Lio)

France - Taiwan joint Conference
on Nonlinear Partial Differential Equations
CIRM (Marseille, France), March 25 to 28, 2008

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Question :is there a difficulty to solve the
boundary value problem (Dirichlet problem)

p
ut−Δu+|Du|

= 0

u(x,0) =

u(x, t) =

in Ω×(0,+∞)

u0(x)

ϕ(x, t)

on Ω

initial-

on∂Ω×(0,+∞)

in the case where Ω is a smooth, bounded domain of
N
IR,p >0 andu0, ϕare continuous functions satisfying
the compatibility condition

u0(x) =ϕ(x,0)

on∂Ω ?

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