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A DIFFUSIVE LOGISTIC EQUATION WITH MEMORY IN BESSEL POTENTIAL SPACES

Part of: Representations of solutions Parabolic equations and systems

Published online by Cambridge University Press:  16 June 2015

ALEJANDRO CAICEDO  and
ARLÚCIO VIANA
ALEJANDRO CAICEDO
Affiliation:
Departamento de Matemática, Universidade Federal de Sergipe, Avenue Vereador Olímpio Grande, Itabaiana-SE, Brazil email alejocro@gmail.com
ARLÚCIO VIANA*
Affiliation:
Departamento de Matemática, Universidade Federal de Sergipe, Avenue Vereador Olímpio Grande, Itabaiana-SE, Brazil email arlucioviana@ufs.br
*
✉arlucioviana@ufs.br
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Abstract

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This paper is devoted to the study of the local existence, uniqueness, regularity, and continuous dependence of solutions to a logistic equation with memory in the Bessel potential spaces.

Keywords

partial integrodifferential equationBessel potential spaceslogistic equationmemory effectlocal well-posedness

MSC classification

Primary: 35K20: Initial-boundary value problems for second-order parabolic equations
Secondary: 35D30: Weak solutions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 251 - 258
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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