Intersection bounds for nodal sets of Eigenfunctions
We consider the zeros of a Neumann eigenfunction φ_λ on an analytic domainsolving the equation -∆ φ_λ =λ^2 φ_λ. We count the number n(λ;H) of intersection points of the nodal lines of φ_λ (components of the nodal set) with a fixed real analytic curve H contained in the interior of the domain. We id...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en |
| Published: |
McGill University
2012
|
| Subjects: | |
| Online Access: | http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=107810 |