Asymptotic smoothing effect of solutions to weakly dissipative Klein–Gordon–Schrödinger equations ✩

In this paper the authors consider the Cauchy problem of weakly dissipative Klein–Gordon– Schrödinger equations through Yukawa coupling in R3. Making use of a Strichartz type inequality and a suitable decomposition of the solution semigroup they prove the asymptotic smoothing effect of the solutions.  2003 Elsevier Science (USA). All rights reserved