No CrossRef data available.
Article contents
Blow-up time involved with perturbed Hamilton–Jacobi equations
Published online by Cambridge University Press: 14 November 2011
Synopsis
In this paper we consider the evolution of positive bounded uniformly continuous data u0 by perturbed equations like
Under general assumptions on u0, existence, uniqueness and regularity of the evolution u in the set
are studied, where the blow-up function is given by .
The exact blow-up rate of u is obtained. Uniqueness, regularity, decay at infinity of the function , as well a s a representation formula for the case m = 1, are also proved.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 122 , Issue 1-2 , 1992 , pp. 17 - 44
- Copyright
- Copyright © Royal Society of Edinburgh 1992