On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation
Keyword(s):
Blow Up
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By Oleinik's line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in[0,T]×R2:∂xxu+u∂yu−∂tu=f(⋅,u), provided thatTis suitable small. Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in finite time.
1998 ◽
Vol 21
(3)
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pp. 555-558
LOCALIZATION OF SOLUTIONS TO A DOUBLY DEGENERATE PARABOLIC EQUATION WITH A STRONGLY NONLINEAR SOURCE
2012 ◽
Vol 14
(03)
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pp. 1250018
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2008 ◽
Vol 51
(11)
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pp. 2059-2071
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2007 ◽
Vol 198
(5)
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pp. 639-660
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2017 ◽
Vol 63
(1)
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pp. 90-115
1989 ◽
Vol 314
(1)
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pp. 187
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1989 ◽
Vol 314
(1)
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pp. 187-187
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