| Abstract: |
| In this talk we describe the influence of the initial data and the forcing terms on the regularity
of the solutions to a class of evolution equations including the heat equation, linear and semilinear parabolic equations, together with the nonlinear p-Laplacian equation. We focus our study mainly on the
regularity (in terms of belonging to appropriate Lebesgue spaces) of the gradient of the solutions. |
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