The geometry of radial states in nonlinear elliptic problems Public Deposited
- Last Modified
- 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.
- Date of publication
- May 2014
- Keyword
- DOI
- Resource type
- Rights statement
- In Copyright
- Advisor
- Jones, Christopher K. R. T.
- Degree
- Doctor of Philosophy
- Graduation year
- 2014
- Language
- Publisher
- Parents:
This work has no parents.
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