Journal of Evolution Equations

, Volume 9, Issue 3, pp 561-591

First online:

On decay estimates

  • Maria Michaela PorzioAffiliated withDipartimento di Matematica, “Guido Castelnuovo” Email author 

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We show here that decay estimates can be derived simply by integral inequalities. This result allows us to prove these kind of estimates, with an unified proof, for different nonlinear problems, thus obtaining both well known results (for example for the p-Laplacian equation and the porous medium equation) and new decay estimates.


Decay estimates Ultracontractive bounds Nonlinear parabolic equations