2010College MathematicsRequires access

Blow up of the Solution for Nonlinear Evolution Equation with Nonlinear Boundary Condition

Zha Zhong-wei

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Abstract

The initial-boundary value problem under the nonlinear boundary condition for a kind of nonlinear evolution equations is discussed. To apply the maximum value theory and convex method of parabolic equation,it is proved that the blowing up of solution in the definite time under some assumed conditions.

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What this paper is about

The initial-boundary value problem under the nonlinear boundary condition for a kind of nonlinear evolution equations is discussed. To apply the maximum value theory and convex method of parabolic equation,it is proved that the blowing up of solution in the definite time under some assumed conditions.

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Available abstract

The initial-boundary value problem under the nonlinear boundary condition for a kind of nonlinear evolution equations is discussed. To apply the maximum value theory and convex method of parabolic equation,it is proved that the blowing up of solution in the definite time under some assumed conditions.

Key concepts: Mathematics, Nonlinear system, Boundary value problem, Mathematical analysis, Regular polygon, Mixed boundary condition, Initial value problem, Blowing up

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