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New constraint on the KP equation and a coupled Burgers system

✍ Scribed by Q.P. Liu


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
202 KB
Volume
198
Category
Article
ISSN
0375-9601

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On Critical Exponents for a Semilinear P
✍ Marek Fila; Howard A. Levine πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 242 KB

In this paper, we consider the system q 1 1 0 0 and bounded. We prove that if pq F 1 every nonnegative solution is global. When Ž . Ž . Ž . Ž . pq ) 1 we let ␣ s p q 2 r2 pq y 1 , ␀ s 2 q q 1 r2 pq y 1 . We show that if Ž . Ž . max ␣, ␀ ) Nr2 or max ␣, ␀ s Nr2 and p, q G 1, then all nontrivial nonne