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Concentration phenomena in the semilinear parabolic equation 被引量:1

Concentration phenomena in the semilinear parabolic equation
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摘要 We prove the existence of the global, but unbounded solution of the semilinear heat equations with critical Sobolev exponent, and that under some assumptions, the global unbounded classical solution concentrates on origin as t→∞. We prove the existence of the global, but unbounded solution of the semilinear heat equations with critical Sobolev exponent, and that under some assumptions, the global unbounded classical solution concentrates on origin as t → ∞.
作者 谭忠
出处 《Science China Mathematics》 SCIE 2001年第1期40-47,共8页 中国科学:数学(英文版)
基金 Thiswork was supported by Laboratory of Mathematics for Nonlinear Sciences of Fudan University and the National Natural Science Foundation of China.
关键词 semilinear parabolic equation critical Sobolev exponent EXISTENCE ASYMPTOTIC concentration-compactness principle semilinear 寓言的方程;批评 Sobolev 代表;存在;asymptotic;集中紧密原则;
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