The geometry of radial states in nonlinear elliptic problems Public Deposited

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  • March 22, 2019
Creator
  • Maultsby, Bevin Laurel
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • In this dissertation we present a geometric approach to the study of nonlinear elliptic problems. In particular, we analyze radial solutions using techniques from dynamical systems. These techniques include a thorough study of the invariant manifolds that arise from the union of the solutions to the elliptic PDE in phase space, as well as computations involving two vector fields which are tangent to the invariant manifolds.
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  • In Copyright
Advisor
  • Jones, Christopher K. R. T.
Degree
  • Doctor of Philosophy
Graduation year
  • 2014
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