Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption
Keyword(s):
We investigate a nonlocal reaction diffusion equation with absorption under Neumann boundary. We obtain optimal conditions on the exponents of the reaction and absorption terms for the existence of solutions blowing up in finite time, or for the global existence and boundedness of all solutions. For the blowup solutions, we also study the blowup rate estimates and the localization of blowup set. Moreover, we show some numerical experiments which illustrate our results.
2020 ◽
Vol 60
(1)
◽
pp. 1-37
2016 ◽
Vol 444
(2)
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pp. 1479-1489
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Keyword(s):
Layered stable equilibria of a reaction–diffusion equation with nonlinear Neumann boundary condition
2008 ◽
Vol 347
(1)
◽
pp. 123-135
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2012 ◽
Vol 29
(3)
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pp. 778-798
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Keyword(s):
Keyword(s):
2016 ◽
Vol 20
(4)
◽
pp. 871-896
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1995 ◽
Vol 451
(1943)
◽
pp. 701-709