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THE BLOW-UP PROPERTIES OF SOLUTIONS TO A PARABOLIC SYSTEM WITH LOCALIZED NONLINEAR REACTIONS
引用本文:林支桂,谢春红,王明新. THE BLOW-UP PROPERTIES OF SOLUTIONS TO A PARABOLIC SYSTEM WITH LOCALIZED NONLINEAR REACTIONS[J]. 数学物理学报(B辑英文版), 1998, 0(4)
作者姓名:林支桂  谢春红  王明新
作者单位:Lin Zhigui ; Xie Chunhong (Department of Mathematics,Nanjing University,Nanjing 210093,China)Wang Mingxin (Department of mathematics and mechanics,Southeast University,Nanjing 210018,China)
摘    要:
1IntroductionThispaperisconcernedwithpositivesolutionOfthesemilinearheatequationswithlocalizedreactionssubjecttoeitherinitialconditions(Cauchyproblem)ortheinitialandboundary-value(DirichletorNeumanntype)conditionswherenisaboundeddomaininRe,icEO.Equations(1.1)canbethoughtofasamodeltodescribesomephysicalphenomena(heatpropagation,chemicalreaction)inwhichthenonlinearreactionsinadynndcalsystemtakesplaceonlyatasinglesite.InthesequelforconvenienceweshallsamplycalltheCauchy,initial-Direchlet,orini…


THE BLOW-UP PROPERTIES OF SOLUTIONS TO A PARABOLIC SYSTEM WITH LOCALIZED NONLINEAR REACTIONS
Lin Zhigui , Xie Chunhong. THE BLOW-UP PROPERTIES OF SOLUTIONS TO A PARABOLIC SYSTEM WITH LOCALIZED NONLINEAR REACTIONS[J]. Acta Mathematica Scientia, 1998, 0(4)
Authors:Lin Zhigui    Xie Chunhong
Abstract:
Keywords:parabolic system  blow-up rate   blow-up set.
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