具可变扩散系数的椭圆-双曲方程组的全局适定性

J4 ›› 2012, Vol. 50 ›› Issue (05): 847-853.

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Global WellPosedness for an EllipticHyperbolic System with Variable Diffusion Coefficients

LI Jian¹, GAO Wenjie², LI Jianjun³, WANG Zenghui¹

1. College of Information Technology, Jilin Agricultural University, Changchun 130118, China;2. College of Mathematics, Jilin University, Changchun 130012, China;3. College of Science, Liaoning Technical University, Fuxin 123000, Liaoning Province, China

Received:2012-02-22 Online:2012-09-26 Published:2012-09-29
Contact: GAO Wenjie E-mail:wjgao@mail.jlu.edu.cn

Abstract

Abstract:

y means of the method of characteristics for firstorder equations, the L^p estimate for elliptic equations, the fixed point theorem and the extension method, we proved a free boundary problem with variable diffusion coefficients has a unique global solution if the initial data of the concentration of nutrient is continuous bounded function.

Key words: diffusion coefficients, elliptichyperbolic system, global wellposedness, free boundary problem, tumor, existence and uniqueness

CLC Number:

O175.2

LI Jian, GAO Wen-Jie, LI Jian-Jun, WANG Ceng-Hui. Global WellPosedness for an EllipticHyperbolic System with Variable Diffusion Coefficients[J].J4, 2012, 50(05): 847-853.

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Global WellPosedness for an EllipticHyperbolic System with Variable Diffusion Coefficients

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