一个肿瘤生长自由边界问题解的整体存在性和唯一性

Abstract

Abstract: In this paper the authors study the general nonnecrotic tumor growth model proposed by Byrne and Chaplain in 1995. This is a free boundary problem for a system of nonlinear reaction diffusion equations. The authors apply the L_p theory of parabolic equations and the Banach fixed point theorem to prove the existence and uniqueness of a local solution, and apply the continuation method to get the existence and uniqueness of a global solution.

Key words: Tumor growth, Free boundary problem, Global solution, Existence, Uniqueness

CLC Number:

35R30

Wei Xuemei, Cui Shangbin. Existence and Uniqueness of Global Solutions of a Free Boundary Problem Modeling Tumor Growth[J].Acta mathematica scientia,Series A, 2006, 26(1): 1-008.

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Existence and Uniqueness of Global Solutions of a Free Boundary Problem Modeling Tumor Growth

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