Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions
Keyword(s):
Blow Up
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We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an upper bound for the “blow-up time,” an upper estimate of the “blow-up rate,” the sufficient conditions for the existence of global solution, and an upper estimate of the global solution are specified.
2011 ◽
Vol 24
(3)
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pp. 288-292
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2005 ◽
Vol 49
(5-6)
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pp. 689-701
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2011 ◽
Vol 54
(11-12)
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pp. 3065-3069
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2016 ◽
Vol 9
(3)
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pp. 717-736
2017 ◽
Vol 41
(4)
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pp. 1683-1696
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