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On the cauchy problem for certain system of semilinear parabolic equations

✍ Scribed by Jian Huaiyu; Chen Donggui


Book ID
110557336
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1998
Tongue
English
Weight
323 KB
Volume
14
Category
Article
ISSN
1439-7617

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The Cauchy problem for a coupled semilin
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We consider a semilinear parabolic coupled system in R n Γ— R+ where the maximum principle and the minimum principle fail for the solution itself and also for its ΓΏrst derivatives with respect to x. Under the assumption that f and g present a subquadratic growth near the origin, we prove the global