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Periodic solutions of nonlinear parabolic equations. (English) Zbl 0537.35049
In the paper a semilinear parabolic partial differential equation with periodic-Neumann boundary conditions is considered. Sufficient and/or necessary conditions for the existence of solutions are given in several cases. Also, results about the structure of the solution set are presented, giving sufficient conditions under which the solution set is compact, connected or acyclic.

MSC:
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35B10 Periodic solutions to PDEs
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