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.
Yong Han Kang and Jin-Mun Jeong
Catholic University of Daegu, Pukyong National University
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
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