๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Blow-up of solutions of nonlinear wave equations in three space dimensions

โœ Scribed by Fritz John


Publisher
Springer
Year
1979
Tongue
English
Weight
982 KB
Volume
28
Category
Article
ISSN
0025-2611

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Blow-up for quasi-linear wave equations
โœ Fritz John ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 621 KB

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

Blow up for a class of quasilinear wave
โœ Yvan Martel ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB ๐Ÿ‘ 2 views

## 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