On a class of singular Gierer-Meinhardt systems arising in morphogenesis

被引：48

作者：

Ghergu, Marius

Radulescu, Vicentiu

机构：

[1] Romanian Acad, Inst Math Simon Stoilow, RO-014700 Bucharest, Romania

[2] Univ Craiova, Dept Math, RO-200585 Craiova, Romania

来源：

COMPTES RENDUS MATHEMATIQUE | 2007年 / 344卷 / 03期

关键词：

D O I：

10.1016/j.crma.2006.12.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence or the nonexistence of classical solutions to a singular Gierer-Meinhardt system with Dirichlet boundary condition. The main feature of our model is that the activator and the inhibitor have different sources given by general nonlinearities. Additional regularity and uniqueness results are established for the one-dimensional case. To cite this article: M. Ghergu V Radulescu, C. R. Acad. ScL Paris, Ser. 1344 (2007). (c) 2007 Academic des sciences. Published by Elsevier Masson SAS. All rights reserved.

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页码：163 / 168

页数：6

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