Blow up of solutions to semilinear wave equations
Date
2003-05-03
Authors
Guedda, Mohammed
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This work shows the absence of global solutions to the equation
utt = ∆u + p-k |u|m,
in the Minkowski space M0 = ℝ x ℝN, where m > 1, (N - 1)m < N + 1, and p is a conformal factor approaching 0 at infinity. Using a modification of the method of conformal compactification, we prove that any solution develops a singularity at a finite time.
Description
Keywords
Blow up, Conformal compactification
Citation
Guedda, M. (2003). Blow up of solutions to semilinear wave equations. <i>Electronic Journal of Differential Equations, 2003</i>(53), pp. 1-5.
Rights
Attribution 4.0 International