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Existence and Uniqueness for Global Solution of Cauchy Problem of a Class of Nonlinear Heat Conduction Equation

Author: YinZuo
Tutor: ShengQiRong；ZuoPing
School: Xinjiang University
Course: Applied Mathematics
Keywords: Nonlinear Cauchy problem Complete Compression Banach fixed point theorem
CLC: O241.7
Type: Master's thesis
Year: 2005
Downloads: 55
Quote: 0
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Abstract


Based on the n-dimensional space R ~ n discussed a class of nonlinear heat conduction equation Cauchy problem of existence and uniqueness of global solutions , the original value of φ and the nonlinear term V (x) uu ~ p satisfy certain conditions , the use of less grief estimates and energy estimation method of combining , by Banach fixed point theorem has been existence and uniqueness of global solutions .

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > Nonlinear algebraic equations and numerical solution of the transcendental equation
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