We consider semilinear equations on the N+1-dimensional space. We give sufficient conditions for the existence of solutions which are quasiperiodic in one variable and decaying in the others. Such solutions are found using a center manifold reduction and results from the KAM theory. We discuss several classes of nonlinearities to which our results apply.
University of Minnesota Ph.D. dissertation. July 2017. Major: Mathematics. Advisor: Peter Polacik. 1 computer file (PDF); iv, 106 pages.
Valdebenito Castillo, Dario.
Existence of Quasiperiodic Solutions of Elliptic Equations on the Entire Space.
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