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http://dx.doi.org/10.4134/BKMS.2014.51.1.013

PERTURBATION RESULTS FOR HYPERBOLIC EVOLUTION SYSTEMS IN HILBERT SPACES

Kang, Yong Han (Institute of Liberal Education Catholic University of Daegu)
Jeong, Jin-Mun (Department of Applied Mathematics Pukyong National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.51, no.1, 2014 , pp. 13-27 More about this Journal

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;

Citations & Related Records

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