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Journal of Differential Equations 216 (2005) 223-258
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Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boudary condition.
Said Benachour 1, Simona Dabuleanu 1
(2005)

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, we study the large time behavior of the solutions.
1:  Institut Elie Cartan Nancy (IECN)
CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
Mathematics/Analysis of PDEs
Nonlinear parabolic equations – Viscous Hamilton-Jacobi equations – Neumann boundary condition – Large time behavior – Bernstein technique.
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