A porous medium equation with nonlocal boundary condition and a localized source |
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| Authors: | Yuzhu Han Wenjie Gao |
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| Affiliation: | 1. Institute of Mathematics , Jilin University , Changchun 130012 , P.R. China hanyuzhu2003@yahoo.cn;3. Institute of Mathematics , Jilin University , Changchun 130012 , P.R. China |
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| Abstract: | This article studies the blow-up properties of solutions to a porous medium equation with nonlocal boundary condition and a general localized source. Conditions for the existence of global or blow-up solutions are obtained. Moreover, it is proved that the unique solution has global blow-up property whenever blow-up occurs. Blow-up rate estimates are also obtained for some special cases. |
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| Keywords: | porous medium equation blow-up localized source nonlocal boundary condition global blow-up blow-up rate |
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