We study the blow up or global existence of the solutions of the Cauchy problem for 2\_2 one-dimensional first order semilinear strictly hyperbolic systems with homogeneous quadratic interaction. Two characterizations are obtained: global existence for locally bounded data, global existence for smal
Global existence and blow-up for a class of semilinear parabolic systems: A Cauchy Problem
โ Scribed by G. Lu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 646 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0362-546X
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## Abstract This paper deals with a class of semilinear parabolic problems. In particular, we establish conditions on the data sufficient to guarantee blow up of solution at some finite time, as well as conditions which will insure that the solution exists for all time with exponential decay of the