In this paper we describe a new method to derive different type of decay estimates for solutions of evolution equations which allow to describe the asymptotic behavior of the solutions both in presence or absence of "immediate" regularizing properties. Moreover, we give various examples of applications some of which new and dealing with a class of nonlinear problems with degenerate coercivity.

A new approach to decay estimates. Application to a nonlinear and degenerate parabolic PDE / Porzio, Maria Michaela. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 29:(2018), pp. 635-659. [10.4171/RLM/826]

A new approach to decay estimates. Application to a nonlinear and degenerate parabolic PDE

Maria Michaela Porzio
2018

Abstract

In this paper we describe a new method to derive different type of decay estimates for solutions of evolution equations which allow to describe the asymptotic behavior of the solutions both in presence or absence of "immediate" regularizing properties. Moreover, we give various examples of applications some of which new and dealing with a class of nonlinear problems with degenerate coercivity.
2018
decay estimates; asymptotic behavior; regularity of solutions; nonlinear degenerate and singular parabolic equations; smoothing effect
01 Pubblicazione su rivista::01a Articolo in rivista
A new approach to decay estimates. Application to a nonlinear and degenerate parabolic PDE / Porzio, Maria Michaela. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 29:(2018), pp. 635-659. [10.4171/RLM/826]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1202576
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