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Reaction diffusion systems with nonlinear boundary conditions 被引量:2

Reaction diffusion systems with nonlinear boundary conditions
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摘要 The following reaction diffusion systemsare discussed, where is a bounded domain with smooth boundaryis small. Let ,where I is the unit matrix. It can be proved that solution exists globally if and only if all the principal minors of A have nonnegative determinants. The following reaction diffusion systemsare discussed, where is a bounded domain with smooth boundaryis small. Let ,where I is the unit matrix. It can be proved that solution exists globally if and only if all the principal minors of A have nonnegative determinants.
出处 《Science China Mathematics》 SCIE 1996年第8期834-840,共7页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China the Natural Science Foundation of Jiangsu Province.
关键词 REACTION DIFFUSION systems nonlinear BOUNDARY conditions global EXISTENCE BLOW up in FINITE time. reaction diffusion systems, nonlinear boundary conditions, global existence, blow up in finite time.
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同被引文献13

  • 1WuYONGHUI,WANGMINGXIN.EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTION OF NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITION[J].Chinese Annals of Mathematics,Series B,1995,16(3):371-378. 被引量:4
  • 2Z. Lin,M. Wang.The blow-up properties of solutions to semilinear heat equations with nonlinear boundary conditions[J].Zeitschrift für angewandte Mathematik und Physik.1999(3)
  • 3Keng Deng.Blow-up rates for parabolic systems[J].ZAMP Zeitschrift für angewandte Mathematik und Physik.1996(1)
  • 4Lin Z G,Wang M X.The blow-up properties of solutions to semilinear heat equations with nonlinear boundary conditions[].Zeitschrift Angewandte Mathematik und Physik.1999
  • 5Wang,M. X.Blow-up rate for a semilinear reaction diffusion system[].Computers and Mathematics With Applications.2002
  • 6Deng K.Blow-up rates for parabolic systems[].Zeitschrift Angewandte Mathematik und Physik.1996
  • 7A. Friedman.Partial Differential Equations of Parabolic Type[]..1964
  • 8Hu B,Yin H M.The profile near blow-up time for solution of the heat equation with a nonlinear boundary condition[].Transactions of the American Mathematical Society.1994
  • 9Hu B.Remarks on the blowup estimate for solutions of the heat equation with a nonlinear boundary condition[].Differential and Integral Equations.1996
  • 10Walter W.On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equationswith a Nonlinear Boundary Condition[].SIAM Journal on Mathematical Analysis.1975

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