一类非局部反应扩散方程组的临界指数(英文)
The critical exponent of nonlocal reaction diffusion systems
-
摘要: 探讨了一类非局部反应扩散方程组的临界指数,结果表明所研究的临界指数属于方程组解的爆破情况;同时,证明了对于小初始数据,该方程组存在整体解.Abstract: The critical exponent for a class of nonlocal reaction diffusion systems is discussed.The results showthat the critical exponent belongs to the blowup case,and the global solutions of system exist when the initial data aresmall.