Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593062 | Journal of Functional Analysis | 2006 | 14 Pages |
Abstract
We prove that solutions to the critical wave equation (1.1) with dimension n⩾4 can not be global if the initial values are positive somewhere and nonnegative. This completes the solution to the famous Strauss conjecture about semilinear wave equations of the form . The rest of the cases, the lower-dimensional case n⩽3, and the sub or super critical cases were settled many years earlier by the work of several authors.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory