2012Chinese Annals of MathematicsRequires access

Blow up Property of Solutions to the Mixed Problem of Nonlinear Evolution Equations

Zha Zhong-wei

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Abstract

The mixed problem with nonlinear boundary condition of the third type for nonlinear evolution equations is discussed.The blow up of solutions in a finite time is proved under some assumptions on known functions by the maximum principle and the convex method of parabolic equation.

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The mixed problem with nonlinear boundary condition of the third type for nonlinear evolution equations is discussed.The blow up of solutions in a finite time is proved under some assumptions on known functions by the maximum principle and the convex method of parabolic equation.

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Available abstract

The mixed problem with nonlinear boundary condition of the third type for nonlinear evolution equations is discussed.The blow up of solutions in a finite time is proved under some assumptions on known functions by the maximum principle and the convex method of parabolic equation.

Key concepts: Mathematics, Nonlinear system, Mathematical analysis, Property (philosophy), Boundary value problem, Regular polygon, Maximum principle, Type (biology)

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