Open Access
March 2004 Classical solutions for PDEs with nonautonomous past in Lp-Spaces
Genni Fragnelli
Bull. Belg. Math. Soc. Simon Stevin 11(1): 133-148 (March 2004). DOI: 10.36045/bbms/1080056166

Abstract

We study some partial differential equations with infinite delay which appear, for example, in models of population dynamics. Using the semigroup theory, we prove the existence of classical solutions of such equations.

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Genni Fragnelli. "Classical solutions for PDEs with nonautonomous past in Lp-Spaces." Bull. Belg. Math. Soc. Simon Stevin 11 (1) 133 - 148, March 2004. https://doi.org/10.36045/bbms/1080056166

Information

Published: March 2004
First available in Project Euclid: 23 March 2004

zbMATH: 1075.35096
MathSciNet: MR2059182
Digital Object Identifier: 10.36045/bbms/1080056166

Subjects:
Primary: 34K06 , 47D06

Keywords: evolution semigroups , partial differential equations

Rights: Copyright © 2004 The Belgian Mathematical Society

Vol.11 • No. 1 • March 2004
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