Existence of Quasiperiodic Solutions of Elliptic Equations on the Entire Space
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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.
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University of Minnesota Ph.D. dissertation. July 2017. Major: Mathematics. Advisor: Peter Polacik. 1 computer file (PDF); iv, 106 pages.
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Valdebenito Castillo, Dario. (2017). Existence of Quasiperiodic Solutions of Elliptic Equations on the Entire Space. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/198410.
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