Some properties of solutions to nonlinear parabolic problems with Neumann conditions

MARRAS, MONICA

2008-01-01

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Abstract

We investigate the behavior of the solution of a nonlinear parabolic problem, when Neumann conditions are prescribed on the boundary $\partial \Omega ×[0, T], \Omega $ a bounded R^N domain. We determine conditions on the geometry and data to insure a decay bound for the solution and its gradient.