Jeanne Nielsen Clelland

Jeanne Clelland

Associate Professor
Ph.D. Duke, 1996

Office:
Math 321
E-mail:
jnc@euclid.colorado.edu
Mailing address:
Jeanne Nielsen Clelland
Department of Mathematics
University of Colorado at Boulder
Campus Box 395
Boulder, CO 80309-0395
USA
Phone:
303-492-7083
Fax:
303-492-7707
Research interests:
Geometry of Partial Differential Equations
Personal home page:
http://math.colorado.edu/~jnc
Research:

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.