| QUENCHING PHENOMENA FOR SYSTEMS OF SEMILINEAR PARABOLIC EQUATIONS I |
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| 作者姓名： | DAI Qiuyi |
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| 作者单位： | DAI Qiuyi(Department of Basic Science，Xiangtan Mining Institute，Hunan Xiangtan 411201，China)GU Yonggeng(Institute of Systems Science，Academia Sinica，Beijing 100080，China) |
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| 摘 要： | 1.IntroductionConsiderthefollowinginitial-boundaryvalueproblemforthesystemsofsemilinearparabolicequationsWhereG.~(--a,a)x(0,Ta),r.~({--a,a}x0,Ta))U(--a,a]x{0}),andf(z)andg(z)satisfy(FGI)f(z):(--co,ba)-R ,g(z):(--co,bl)-R ,f(0)>0,andg(0)>0;(FG2)i(z)andg(…
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QUENCHING PHENOMENA FOR SYSTEMS OF SEMILINEAR PARABOLIC EQUATIONS I |
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| DAI Qiuyi.QUENCHING PHENOMENA FOR SYSTEMS OF SEMILINEAR PARABOLIC EQUATIONS I[J].Journal of Systems Science and Complexity,1997(4). |
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| Authors: | DAI Qiuyi |
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| Abstract: | Initial-boundary value problems for a class of systems of semilinear parabolicequations with singular terms are investigated, conditions for the existence and nonexistence of the global solutions to the above problems are given, and upper bounds of thequenching time and the critical length are obtained. |
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| Keywords: | Quenching critical length quenching time initial-boundary value problem systems of parabolic equations |
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