[反应扩散方程的熄灭与爆破性质]李玉祥

【反应扩散方程的熄灭与爆破性质】李玉祥.pdf论文答辩日期:年5月4日 指导教师:(签字)ABSTRACT This thesis consists of two papers.In Chapter 1,we studyasemi-linearheatequationwithlocalized reactions.Under certain conditionsweshow that its solutionquenchesinfinitetime onauniquepoint,howeverthederivativewithrespecttotimeblowsupin finite timeglobally.Chapter 1 The Quenching Property of a Reaction-Diffusion Equation 1Introduction This paper dealswiththe following diffusion equation with localizedreations ut-.u=∈f(u(xo,t),(x,t)∈DT u(x,t)=0,(x,t)∈Sr.u(x,0) =uo(x),∈Ω, where D =x(0.T], Sr =0x(0,T],Ω is a bounded domain in Rn.
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