Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590390 | Journal of Functional Analysis | 2014 | 18 Pages |
Abstract
In this paper, we consider the Cauchy problem for semilinear wave equation in high dimensions. First we use a Morawetz energy estimate which is obtained by integrating on the light cone to get a weighted L2−L2L2−L2 estimate of the solution, and then give an elementary proof of the weighted Strichartz estimate in Georgiev et al. [3], hence the Strauss conjecture. We also obtain a variant of the weighted Strichartz estimates and give the sharp estimate of the lifespan for the semilinear wave equation with subcritical nonlinearity.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ning-An Lai, Yi Zhou,