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Article type: Research Article
Authors: Moreno-Mérida, Lourdesa | Porzio, Maria Michaelab; *
Affiliations: [a] Departamento de Analisis Matematico, Universidad de Granada, 18071 Granada, Spain. E-mail: [email protected] | [b] Dipartimento di Matematica, Sapienza Università di Roma, Piazzale A. Moro 2, 00185 Roma, Italy. E-mail: [email protected]
Correspondence: [*] Corresponding author. E-mail: [email protected].
Abstract: We study a parabolic equation with the data and the coefficient of zero order term only summable functions. Despite all this lack of regularity we prove that there exists a solution which becomes immediately bounded. Moreover, we study the asymptotic behavior of this solution in the autonomous case showing that the constructed solution tends to the associate stationary solution.
Keywords: Regularizing effect, asymptotic behavior, regularity of solutions, linear parabolic equations
DOI: 10.3233/ASY-191558
Journal: Asymptotic Analysis, vol. 118, no. 3, pp. 143-159, 2020
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