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2009•Journal of MathematicsRequires access

BLOW UP PROPERTY OF THE SOLUTION FOR INITIAL-BOUNDARY VALUE PROBLEM OF NONLINEAR PARABOLIC EQUATIONS

Zha Zhong-wei

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Abstract

This paper deals with the initial-boundary value problem under the third nonlinear boundary condition for a kind of nonlinear parabolic equations. By applying the maximum value theory of parabolic equation and convex method,it is proved that the blow up of solution in a definite time under some assumed conditions. The conclusion popularizes the results of refernces [7-9].

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What this paper is about

This paper deals with the initial-boundary value problem under the third nonlinear boundary condition for a kind of nonlinear parabolic equations. By applying the maximum value theory of parabolic equation and convex method,it is proved that the blow up of solution in a definite time under some assumed conditions. The conclusion popularizes the results of refernces [7-9].

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Available abstract

This paper deals with the initial-boundary value problem under the third nonlinear boundary condition for a kind of nonlinear parabolic equations. By applying the maximum value theory of parabolic equation and convex method,it is proved that the blow up of solution in a definite time under some assumed conditions. The conclusion popularizes the results of refernces [7-9].

Key concepts: Mathematics, Boundary value problem, Mathematical analysis, Nonlinear system, Parabolic partial differential equation, Regular polygon, Property (philosophy), Initial value problem

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BLOW UP PROPERTY OF THE SOLUTION FOR INITIAL-BOUNDARY VALUE PROBLEM OF NONLINEAR PARABOLIC EQUATIONS — Research Paper | ScholarLens