Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2014; 51(1): 13-27

Printed January 1, 2014

https://doi.org/10.4134/BKMS.2014.51.1.13

Copyright © The Korean Mathematical Society.

Perturbation results for hyperbolic evolution systems in Hilbert spaces

Yong Han Kang and Jin-Mun Jeong

Catholic University of Daegu, Pukyong National University

Abstract

The purpose of this paper is to derive a perturbation theory of evolution systems of the hyperbolic second order hyperbolic equations. We give an example of a partial functional equation as an application of the preceding result in case of the mixed problems for hyperbolic equations of second order with unbounded principal operators.

Keywords: perturbation theory, hyperbolic equations, fundamental solution, regularity, analytic semigroup

MSC numbers: Primary 58J37; Secondary 35L15