Search results for "Interaction problem"

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

1991

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].