Lawrence E. Payne

Professor Emeritus of Mathematics

Web Site N/A Contact Information Office:  527 Malott Hall Phone:  (607) 255-2383 Fax:  (607) 255-7149 Email:  lep8@cornell.edu

Education

Ph.D. (1950) Iowa State University

Research Area: Partial differential equations, ill-posed and non standard problems

My research interests lie in several areas of partial differential equations: isoperimetric inequalities, ill-posed and non-standard problems, growth decay and/or blowup of solutions, and applications to various problems in solid and fluid mechanics.

Selected Publications

Spatial decay bounds for a class of quasilinear parabolic initial-boundary value problems (with G. A. Philippin), International J. Nonlinear Mech. 40 (2005), 295–305.

Some nonstandard problems in generalized heat conduction (with Philip Schaefer and J. C. Song), ZAMP 56 (2005), 931–941.

Improved spatial decay bounds in generalized heat conduction (with J. C. Song), ZAMP 56 (2005), 805–820.

Decay bounds for solutions of second-order parabolic problems and their derivatives IV (with G. A. Philippin and S. Vernier-Piro), Applicable Analysis 85 (2006), 293–302.

Blowup, decay bounds, and continuous dependence inequalities for a class of quasilinear parabolic problems (with G. A. Philippin and S. Vernier-Piro), Math. Meth. Appl. Sci. 29 (2006), 281–295.

Last modified: May 24, 2006