Nonlinear evolution equations associated with mathematical models

Akisato Kubo

doi:10.3934/proc.2011.2011.881

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2011, Volume 2011: 881-890. Doi: 10.3934/proc.2011.2011.881 open access

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Nonlinear evolution equations associated with mathematical models

Akisato Kubo^1,

1.
Department of Mathematics, School of Health Sciences, Fujita Health University, Toyoake, Aichi 470-1192

Received: July 2010

Revised: April 2011

Published: August 2017

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Abstract

We investigate the global existence in time and the asymptotic prole of solutions of nonlinear evolution equations with strong dissipation. Applying our result to some models of mathematical biology and medicine, we discuss mathematical properties of them.

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Mathematics Subject Classification: Primary: 35K50, 35L20; Secondary:92C17, 92C50.

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