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Singular Semilinear Reaction Diffusion Equations Of The Cauchy Problem

Posted on:2009-09-29Degree:MasterType:Thesis
Country:ChinaCandidate:J LiFull Text:PDF
GTID:2190330332476530Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In this paper,we study the Cauchy problem of semilinear singular reaction-diffusion system with Semigrap of operator,namely, Where p>0,q>0,N≥1,fi(x) (i=1,2) are nonnegative continuous and bounded functions.Δis N dimension laplace operator. and give some results: Then every nontrivial solution of (1) in L∞(RN) blows up in finite time. Then every nontrivial solution of (1) in L∞(RN) blows up in finite time. Then every nontrivial solution of (1) in L∞(RN) blows up in finite time.
Keywords/Search Tags:Reaction-diffusion System, semigroup of operator, Blow-up problem
PDF Full Text Request
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