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Generalized quasilinear hyperbolic equations and Yosida approximations

Part of: Hyperbolic equations and systems

Published online by Cambridge University Press:  09 April 2009

Jong Yeoul Park ,
Il Hyo Jung  and
Yong Han Kang
Yong Han Kang
Affiliation:
Department of Mathematics Pusan National UniversityPusan 609–735Korea e-mail: jyepark@pusan.ac.kr, ilhjung@pusan.ac.kr
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Abstract

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We will show the existence, uniqueness and regularity of global solutions for the Cauchy problem for nonlinear evolution equations with the damping term .

As an application of our results, we give the global solvability and regularity of the mixed problem with Dirichiet boundary conditions:

Keywords

Yosida approximationsquasilinear hyperbolic equationglobal solutionsregularity

MSC classification

Secondary: 35L70: Nonlinear second-order hyperbolic equations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 74 , Issue 1 , February 2003 , pp. 69 - 86
Copyright
Copyright © Australian Mathematical Society 2003

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