Noncoercive parabolic obstacle problems

Author:

Farroni Fernando1,Greco Luigi1,Moscariello Gioconda1,Zecca Gabriella1

Affiliation:

1. Dipartimento di Matematica e Applicazioni R. Caccioppoli, Università degli Studi di Napoli Federico II , Complesso Monte S. Angelo , via Cinthia, I-80126 Napoli , Italy

Abstract

Abstract We prove an existence result for obstacle problems related to convection-diffusion parabolic equations with singular coefficients in the convective term. Our operator is not coercive, the obstacle function is time-dependent irregular, and the coefficients in the lower-order term belong to a borderline mixed Lebesgue-Marcinkiewicz space.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

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5. L. Boccardo, L. Orsina, and M. M. Porzio, Regularity results and asymptotic behavior for a noncoercive parabolic problem, J. Evol. Equ. 21 (2021), no. 2, 2195–2211.

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