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math.AP2006
Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boudary condition
Said Benachour, Simona Dabuleanu
We prove the existence and the uniqueness of strong solutions for the viscous Hamilton-Jacobi Equation with Neumann boundary condition and initial data a continious function. Then,…
math.AP2006
Decay Estimates for a Viscous Hamilton-Jacobi Equation with Homogenious Dirichet Boundary Conditions
Said Benachour, Simona Dabuleanu-Hapca, Philippe Laurençot
Global classical solutions to the viscous Hamilton-Jacobi equation with homogenious Dirichlet boundary conditions are shown to converge to zero at the same speed as the linear heat…