Fractal Differential Equations Defined by Iterated Function Systems with Overlaps

Presenters/Authors

Sze-Man Ngai, Georgia Southern UniversityFollow
John Chan, Georgia Southern UniversityFollow
Jie Chen, University of WashingtonFollow
Jiaxin HuFollow
Ka-Sing Lau, The Chinese University of Hong KongFollow

Document Type

Presentation

Presentation Date

5-17-2010

Abstract or Description

We study spectral asymptotics of a class of Laplacians defined by iterated function systems with overlaps. We also study the computation of the eigen-functions and eigenvalues of the Laplacians. We also study the wave equation. Part of this work is joint with J. Chan, J. Chen, J. Hu, and K.-S. Lau.

Sponsorship/Conference/Institution

Optimal Configurations on the Sphere and Other Manifolds, Vanderbilt University

Location

Nashville, TN

Recommended Citation

Ngai, Sze-Man, John Chan, Jie Chen, Jiaxin Hu, Ka-Sing Lau. 2010. "Fractal Differential Equations Defined by Iterated Function Systems with Overlaps." Department of Mathematical Sciences Faculty Presentations. Presentation 344.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/344