| Abstract: |
| We will prove the existence of global solutions to a class of nonlinear parabolic equations appearing in many physical applications being a nonlinear version of the heat equation. We will describe the regularity properties and the behavior in time of the solutions with special attention to the autonomous case. Finally, we will show that in the non autonomous case it is possible to estimate the difference between the solutions of the evolution problem and the solutions to suitable stationary problems. |
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