Ebert, M. R.
Total Authors: 3
 Univ Sao Paulo, Dept Comp & Matemat, FFCLRP, Av Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP - Brazil
 Univ Bari Aldo Moro, Dipartimento Matemat, Via Orabona 4, Bari - Italy
 Tech Univ Bergakad Freiberg, Fac Math & Comp Sci, Pruferstr 9, D-09596 Freiberg - Germany
Total Affiliations: 3
Web of Science Citations:
In this paperweconsider theCauchy problem for the semilinear dampedwave equation utt -.u + ut = h(u), u(0, x) = f(x), ut (0, x) =.(x), where h(s) = |s|1+ 2 n mu(|s|). Here n is the space dimension and mu is a modulus of continuity. Our goal is to obtain sharp conditions on mu to obtain a threshold between global (in time) existence of small data solutions (stability of the zero solution) and blow-up behavior even of small data solutions. (AU)