Finite time blow-up and global solutions for a class of semilinear parabolic equations at high energy level |
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| Authors: | Runzhang Xu Xiuying CaoTao Yu |
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| Institution: | College of Science, Harbin Engineering University, Harbin 150001, People’s Republic of China |
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| Abstract: | In this paper we study the initial boundary value problem of a class of semilinear parabolic equation. Our main tools are the comparison principle and variational methods. In this paper, we will find both finite time blow-up and global solutions at high energy level. |
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| Keywords: | Semilinear parabolic equation Blow-up Global existence High energy |
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