Attractors for reaction-diffusion equations in R N with continuous nonlinearity
Attractors for reaction-diffusion equations in R N with continuous nonlinearity
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DOI：
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发表时间：
2005
影响因子：
1.4
通讯作者：
F. Morillas;J. Valero;E. Geodésica
中科院分区：
文献类型：
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作者：
F. Morillas;J. Valero;E. Geodésica
本文证明了R N上一类反应扩散方程的紧整体吸引子的存在性。我们不假设非线性项是可微的（只是连续的），也不保证Cauchy问题解的唯一性。此外，增长和耗散的条件是不同的，从以前的论文中所使用的主题。一个应用程序是给菲茨-休-南云系统，它模拟信号的传输通过轴突。
In this paper we prove the existence of a compact global attractor for a reaction-diffusion equation on R N.W e do not assume that the nonlinear term is differentiable (just continuous) and, also, we do not guarantee the uniqueness of solutions of the Cauchy problem. Besides, the growth and dissipative conditions are different from the ones used in previous papers on the topic. An application is given to the Fitz-Hugh-Nagumo system, which models the transmission of signals across axons.