The local well-posedness of solutions for a nonlinear pseudo-parabolic equation

被引：0
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作者：
Shaoyong Lai
Haibo Yan
Yang Wang
机构：
[1] Southwestern University of Finance and Economics,Department of Mathematics
来源：
Boundary Value Problems | / 2014卷
关键词：
local strong solution; well-posedness; nonlinear pseudo-parabolic equation;
D O I：
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学科分类号：
摘要：
The local existence and uniqueness of solutions for a nonlinear pseudo-parabolic equation are established in the Sobolev space C([0,T);Hs(Rn))∩C1([0,T);Hs−1(Rn)) with s>n2. In addition, we prove the global existence of solutions for two special cases of the equation.
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