WEIGHTED STRICHARTZ ESTIMATES AND GLOBAL EXISTENCE FOR SEMILINEAR WAVE-EQUATIONS

Authors
GEORGIEV V LINDBLAD H SOGGE CD
Citation
V. Georgiev et al., WEIGHTED STRICHARTZ ESTIMATES AND GLOBAL EXISTENCE FOR SEMILINEAR WAVE-EQUATIONS, American journal of mathematics, 119(6), 1997, pp. 1291-1319
Citations number
26
Journal title
American journal of mathematics → ACNP
ISSN journal
00029327
Volume
119
Issue
6
Year of publication
1997
Pages
1291 - 1319
Database
ISI
SICI code
0002-9327(1997)119:6<1291:WSEAGE>2.0.ZU;2-O
Abstract
In this paper we prove a sharp global existence theorem in all dimensi ons for nonlinear wave equations with power-type nonlinearities. The p roof is based on a weighted Strichartz estimate involving powers of th e Lorentz distance.