On Nonlinear Nonlocal Systems of Reaction Diffusion Equations
Keyword(s):
The reaction diffusion system with anomalous diffusion and a balance lawut+-Δα/2u=-fu,v, vt+-∆β/2v=fu,v,0<α,β<2, is con sidered. The existence of global solutions is proved in two situations: (i) a polynomial growth condition is imposed on the reaction termfwhen0<α≤β≤2; (ii) no growth condition is imposed on the reaction termfwhen0<β≤α≤2.
2002 ◽
Vol 35
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pp. 2491-2503
2019 ◽
Vol 377
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pp. 121154
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2009 ◽
Vol 238
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pp. 209-215
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Keyword(s):
1993 ◽
Vol 25
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pp. 23-33
2016 ◽
Vol 433
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pp. 1718-1735
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1996 ◽
Vol 26
(8)
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pp. 1387-1396
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