一类非局部反应扩散方程组的Neumann边值问题

Neumann Buondary Condition Problem of a Class of Nonlocal Reaction-diffusion Systems

研究了一类来源于燃烧理论的半线性非局部反应扩散方程组 .证明了Neumann边值问题古典解的局部存在性 ,并给出了整体解存在和解在有限时刻内爆破的充分条件 .

A class of nonlocal reaction diffusion systems with the Neumann boundary condition that arose from the theory of ignition is studied. We prove the local solvabiity of the problem by schauder fixed point theorem, and establish the existence and the inexitence of global solutions.