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- W3206730052 abstract "We prove the existence of a forced time-periodic solution to general nonlinear Hamiltonian PDEs by using pseudoholomorphic curves as in symplectic homology theory. When the nonlinearity is sufficiently regularizing, bounded and time-periodic we prove that for a generic time period a solution exists, thereby complementing the result by Rabinowitz from 1978. In order to extend the pseudoholomorphic curve methods from Floer theory to our infinite-dimensional setting and prove a type of Gromov-Floer compactness, we use ideas from the theory of Diophantine approximations to overcome the small divisor problem." @default.
- W3206730052 created "2021-10-25" @default.
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- W3206730052 date "2021-01-01" @default.
- W3206730052 modified "2023-09-24" @default.
- W3206730052 title "Time-periodic solutions of Hamiltonian PDEs using pseudoholomorphic curves" @default.
- W3206730052 hasPublicationYear "2021" @default.
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