Jeanne Nielsen Clelland
Ph.D. Duke, 1996
- Math 321
- Mailing address:
- Jeanne Nielsen Clelland
- Department of Mathematics
- University of Colorado at Boulder
- Campus Box 395
- Boulder, CO 80309-0395
- Research interests:
- Geometry of Partial Differential Equations
- Personal home page:
I work in differential geometry and the application of geometry to the study of partial differential equations. Specifically, my work has focused on conservation laws, Backlund transformations, intermediate equations, and sub-Finsler geometry with applications to control theory.
- Select Publications:
Geometry of conservation laws for a class of parabolic partial differential equations, Selecta Math. (New Series) 3 (1997) 1-77.
Geometry of conservation laws for a class of parabolic PDEs II: Normal forms for equations with conservation laws. Selecta Math. (New Series). 3 (1997) 497-515.
Homogeneous Backlund transformations of hyperbolic Monge-Ampere systems. Asian J. Math. 6 (2002) 433-480.}
Parametric Backlund transformations I: Phenomenology, (with T. Ivey). Trans. Amer. Math. Soc. 357 (2005) 1061-1093.
Sub-Finsler geometry in dimension three, (with C. G. Moseley). Differential Geometry Appl. 24 (2006) 628-651.