In this paper, following the ideas of Lax, we prove a blow-up result for a class of solutions of the equation & -&x -&+xx -= 0, corresponding, in certain cases, to the development of a singularity in the second derivatives of 4. These solutions solve locally (in time) the Cauchy problem for smooth i
On Blow Up Solutions of a Quasilinear Elliptic Equation
β Scribed by Ester Giarrusso
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 246 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
## 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
In this paper, we study the following semilinear integro-di!erential equation of the parabolic type that arise in the theory of nuclear reactor kinetics: under homogeneous Dirichlet boundary condition, where p, q\*1. We "rst establish the local solvability of a large class of semilinear non-local e