About this Mathematics article
The Cauchy problem for a coupled semilinear parabolic system by L. Amour; T. Raoux is a Mathematics article available to read on EtoBox.
We consider a semilinear parabolic coupled system in R n × R+ where the maximum principle and the minimum principle fail for the solution itself and also for its ÿrst derivatives with respect to x. Under the assumption that f and g present a subquadratic growth near the origin, we prove the global existence and uniqueness of the solutions to the Cauchy problem, and the existence of nonnegative solutions. The maximum principle and the minimum principle are replaced by the existence of some invariant regions in R 2n+2 for
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- Author
- L. Amour; T. Raoux
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0362-546X)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)