Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families

Seong-Ho Cho and Jin-Mun Jeong
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Seong-Ho Cho: Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea
Jin-Mun Jeong: Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea

Mathematics, 2020, vol. 8, issue 7, 1-14

Abstract: The purpose of this paper is to obtain the regularity for solutions of semilinear neutral hyperbolic equations with the nonlinear convolution. The principal operator is the infinitesimal generator of a cosine and sine families. In order to show a variation of constant formula for solutions, we make of using the nature of cosine and sine families.

Keywords: semilinear hyperbolic equations; existence; regularity; cosine family; sine family (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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