Open Access
2012 Almost automorphic solutions of hyperbolic evolution equations
Claudio Cuevas, Erwin Henriquez , Bruno de Andrade
Banach J. Math. Anal. 6(1): 90-100 (2012). DOI: 10.15352/bjma/1337014667

Abstract

In this work we deals with almost automorphic behavior of solutions of a class of semilinear evolution equations. To achieve our goal we use interpolation theory and fixed point theory. As application, we examine sufficient conditions for existence of almost automorphic solutions of equations of the heat conduction theory.

Citation

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Claudio Cuevas. Erwin Henriquez . Bruno de Andrade. "Almost automorphic solutions of hyperbolic evolution equations." Banach J. Math. Anal. 6 (1) 90 - 100, 2012. https://doi.org/10.15352/bjma/1337014667

Information

Published: 2012
First available in Project Euclid: 14 May 2012

zbMATH: 1253.34054
MathSciNet: MR2862545
Digital Object Identifier: 10.15352/bjma/1337014667

Subjects:
Primary: 34G20
Secondary: 47A55

Keywords: almost automorphic function , Analytic semigroup , hyperbolic semigroup , semilinear evolution equation

Rights: Copyright © 2012 Tusi Mathematical Research Group

Vol.6 • No. 1 • 2012
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