0010-13640/81/00344029S2.30 'I$ need not even be defined for all arguments, since u' and u" will stay small for sufficiently small norms off, g. 2Solutions of the one-dimensional problem (4a, b) can also be viewed as special solutions u(x.r) of the n-dimensional equation u,, = c(u,,)Au which happen
โฆ LIBER โฆ
Blow-up of solutions of nonlinear wave equations in three space dimensions
โ Scribed by Fritz John
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 982 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0025-2611
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## For suitable and F, we prove that all classical solutions of the quasilinear wave equation RR !( ( V )) V "F(), with initial data of compact support, develop singularities in "nite time. The assumptions on and F include in particular the model case O>, for q\*2, and "$1. The starting point of