Article ID Journal Published Year Pages File Type
4634381 Applied Mathematics and Computation 2008 5 Pages PDF
Abstract
We consider the existence of periodic solutions of the unbounded Hamiltonian system(H)∂tu-Δxu=Hv(t,x,u,v)-∂tv-Δxv=Hu(t,x,u,v)for(t,x)∈R×Ω.Unlike previous work, in our case the energy functional does not satisfy the Palais-Smale conditions.
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Physical Sciences and Engineering Mathematics Applied Mathematics
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Periodic solutions of an infinite-dimensional Hamiltonian system
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