Global Well-Posedness and Finite-Time Blow-Up of Some Heat-Type Equations
2016 ◽
Vol 60
(2)
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pp. 481-497
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Keyword(s):
Blow Up
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AbstractWe study two different heat-type equations. First, global well-posedness in the energy space of some high-order semilinear heat-type equation with exponential nonlinearity is obtained for even space dimensions. Second, a finite-time blow-up result for the critical monomial focusing heat equation with the p-Laplacian is proved.
2018 ◽
Vol 7
(1)
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pp. 67-84
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2009 ◽
Vol 06
(03)
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pp. 549-575
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2000 ◽
Vol 28
(4)
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pp. 1735-1746
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1986 ◽
Vol 104
(1-2)
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pp. 161-167
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2011 ◽
Vol 28
(6)
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pp. 853-887
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2014 ◽
Vol 416
(1)
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pp. 229-257