含非齐项的快扩散耦合系统解的渐近行为

Asymptotic Behavior of Solutions to Coupled Fast Diffusion System with Inhomogeneous Terms

用检验函数和比较原理研究含非齐项快扩散耦合系统的第二边值问题,得到了它的Fujita型临界曲线.结果表明:在临界曲线下方,不存在非负非平凡的全局解;在临界曲线上方,存在非负非平凡的全局解.

The second boundary value problem for the fast diffusion system with inhomogeneous term was studied by the test function method and the comparison principle,obtaining its Fujita critical curve.We proved the nonexistence of the nontrivial nonnegative global solutions under the Fujita critical curve,and the existence of the nontrivial nonnegative global solutions above the Fujita critical curve.