Homoclinic orbits for an unbounded superquadratic |
| |
| Authors: | Jun Wang Junxiang Xu Fubao Zhang Lei Wang |
| |
| Institution: | 1. Department of Mathematics, Southeast University, Nanjing, 210096, People’s Republic of China
|
| |
| Abstract: | We consider the following nonperiodic diffusion systems
|
$ \left\{{ll} \partial_{t}u-\triangle_{x}u+b(t,x)\nabla_{x}u+V(x)u=G_{v} (t,x,u,v), \\ -\partial_{t}v-\triangle_{x}v-b(t,x)\nabla_{x}v+V(x)v=G_{u} (t,x,u,v), \right. {\forall}(t,x)\in\mathbb{R}
\times\mathbb{R}^{N}, $ \left\{\begin{array}{ll} \partial_{t}u-\triangle_{x}u+b(t,x)\nabla_{x}u+V(x)u=G_{v} (t,x,u,v), \\ -\partial_{t}v-\triangle_{x}v-b(t,x)\nabla_{x}v+V(x)v=G_{u} (t,x,u,v), \end{array}\right. {\forall}(t,x)\in\mathbb{R}
\times\mathbb{R}^{N}, |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
|
