Asymptotically self‐similar global solutions for a higher‐order semilinear parabolic equation |
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| Authors: | Fuqin Sun Fan Li Xiuqing Jia |
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| Institution: | School of Science, Tianjin University of Technology and Education, Tianjin 300222, People's Republic of China |
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| Abstract: | In this paper, we study the higher‐order semilinear parabolic equation ![equation image]( "equation image") where m, p>1 and $a\,\in\,\mathbb{R}$ . For p>1+2m/N, we prove that the global existence of mild solutions for small initial data with respect to some norm. Some of those solutions are proved to be asymptotic self‐similar. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | higher‐order parabolic equation mild global solutions asymptotic self‐similar |
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