Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time-periodic solutions of Hamiltonian PDEs using pseudoholomorphic
  curves   We extend the pseudoholomorphic curve methods from Floer theory to
infinite-dimensional phase spaces and use our results to prove the existence of
a forced time-periodic solution to a general Hamiltonian PDE with regularizing
nonlinearity. In particular, when the nonlinearity is sufficiently
regularizing, bounded and time-periodic, we prove an infinite-dimensional
version of Gromov-Floer compactness by using ideas from the theory of
Diophantine approximations to overcome the small divisor problem. Furthermore,
in the case when the infinite-dimensional phase space is a product of a
finite-dimensional closed symplectic manifold with linear symplectic Hilbert
space, we prove a cup-length estimate for the number of periodic solutions.

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The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio