One-Dimensional Wave Equations Defined by Fractal Laplacians

Presenters/Authors

John Chan, Georgia Southern UniversityFollow
Sze-Man Ngai, Georgia Southern UniversityFollow
Alexander Teplyaev, University of ConnecticutFollow

Document Type

Presentation

Presentation Date

10-2-2010

Abstract or Description

We study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians are defined by fractal measures generated by iterated function systems with overlaps. We prove the existence and uniqueness of weak solutions. We also study numerical computations of the solutions and prove the convergence of the approximation scheme. This is a joint work with John F. Chan and Alexander Teplyaev.

Sponsorship/Conference/Institution

Fall Eastern Sectional Meeting of the American Mathematical Society (AMS)

Location

Syracuse, NY

Recommended Citation

Chan, John, Sze-Man Ngai, Alexander Teplyaev. 2010. "One-Dimensional Wave Equations Defined by Fractal Laplacians." Department of Mathematical Sciences Faculty Presentations. Presentation 346.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/346