一类带非线性边界条件的非线性抛物方程的解的整体存在性

Abstract

Abstract:

This paper deals with the existence and nonexistence of global positive solutions of the nonlinear parabolic equation with a nonlinear boundary condition. A necessary and sufficient condition in order that all positive solutions exist globally is obtained by using the technique of the upper and lower solutions, which have the same form and they are simple in the calculations.

Key words: Nonlinear parabolic equation, Nonlinear boundary condit ion, Global existence, Finite time blow up, Upper and lower solutions

CLC Number:

35K55

CHEN You-Peng, XIE Chun-Hong. Global Existence and Nonexistence for a Nonlinear Parabolic Equation with a Nonlinear Boundary Condition[J].Acta mathematica scientia,Series A, 2005, 25(6): 881-889.

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Global Existence and Nonexistence for a Nonlinear Parabolic Equation with a Nonlinear Boundary Condition

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