6533b827fe1ef96bd1285a4e

RESEARCH PRODUCT

Existence and Regularity of Solutions of Cauchy Problems for Inhomogeneous Wave Equations with Interaction

Felix Ali Mehmeti

subject

Cauchy problemCompatibility (mechanics)Mathematical analysisCauchy distributionInteraction problemWave equationMathematics

description

The main aim of this paper is a nonrecursive formula for the compatibility conditions ensuring the regularity of solutions of abstract inhomogeneous linear wave equations, which we derive using the theory of T. Kato [11]. We apply it to interaction problems for wave equations (cf. [3]), generalizing regularity results of Lions-Magenes [12].

yearjournalcountryeditionlanguage
1991-01-01
https://doi.org/10.1007/978-3-0348-5672-0_2