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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.AP2003
Multi-valued boundary value problems involving Leray-Lions operators and discontinuous nonlinearities
Simona Dabuleanu, Vicentiu Radulescu
We prove an existence result for a class of Dirichlet boundary value problems with discontinuous nonlinearity and involving a Leray-Lions operator. The proof combines monotonicity…