On a Class of Infinite-Dimensional Hamiltonian Systems with Asymptotically Periodic Nonlinearities |
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| Authors: | Minbo YANG Zifei SHEN Yanheng DING |
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| Affiliation: | 1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China
2. Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | The authors study the existence of homoclinic type solutions for the following system of diffusion equations on ℝ × ℝ N | $
left{ begin{gathered}
partial _t u - Delta _x u + b cdot Delta _x u + au + V(t,x)v = H_v (t,x,u,v), hfill
- partial _t v - Delta _x v - b cdot Delta _x v + av + V(t,x)u = H_u (t,x,u,v), hfill
end{gathered} right.
$
left{ begin{gathered}
partial _t u - Delta _x u + b cdot Delta _x u + au + V(t,x)v = H_v (t,x,u,v), hfill
- partial _t v - Delta _x v - b cdot Delta _x v + av + V(t,x)u = H_u (t,x,u,v), hfill
end{gathered} right.
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| Keywords: | Variational methods Least energy solution Hamiltonian system |
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