Some properties of solutions to nonlinear parabolic problems with Neumann conditions
Monica Marras · UNICA IRIS Institutional Research Information System (University of Cagliari) · 2008
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.