Geometric character of domain and the Harnack inequality of solution of a singular parabolic equation
Keyword(s):
AbstractThe geometric character of domains of solutions of a singular parabolic equation with the Neumann boundary condition are discussed in this work. We prove a gradient estimate and a Harnack type inequality and then, show that the domains of the solutions are exactly columns in the space-time. Specially, the altitudes of the columns are calculated accurately.
2002 ◽
Vol 112
(1)
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pp. 195-207
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Keyword(s):
Keyword(s):
Layered stable equilibria of a reaction–diffusion equation with nonlinear Neumann boundary condition
2008 ◽
Vol 347
(1)
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pp. 123-135
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2008 ◽
Vol 48
(11)
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pp. 2077-2080
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2012 ◽
Vol 29
(3)
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pp. 778-798
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2018 ◽
Vol 356
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pp. 115-126
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