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Details for article 10 of 69 found articles
| Title: |
Besov Spaces and Self-Similar Solutions for the Wave-Map Equation |
| Author: |
Germain, Pierre |
| Appeared in: |
Communications in partial differential equations |
| Paging: | Volume 33 (2008) nr. 9 pages 1571-1596 |
| Year: |
2008-09 |
| Contents: |
Self-similar solutions play a crucial role in the blow-up theory for the wave-map equation; they correspond to self-similar data at the time of the blow-up. However, solutions to this equation are generally considered for data in the standard finite energy spaces (in dimension d) [image omitted]. We build up in this article solutions of the covariant wave-map equation for data which are small and of infinite energy, or large and self-similar. This provides us with a general framework which includes in particular the blowing up solutions of Shatah [14] and Bizon [3]. As an application, we describe more precisely the blow-up phenomenon. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 10 of 69 found articles
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