Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 25, No 1, (1999), 71p-82p
Abstract:
We study the Cauchy problem for utt − ∆u + V (x)u^5 = 0 in
3–dimensional case. The function V (x) is positive and regular, in particular
we are interested in the case V (x) = 0 in some points. We look for the global
classical solution of this equation under a suitable hypothesis on the initial
energy.
