Craig Cowan

Assistant Professor

Address Information

• Office: 201C Shelby Center
• Voice: 256-824-2223
• Fax: 256-824-6173
• E-mail: craig.cowan@uah.edu

Research Interests:

• Elliptic partial differential equations
• Regularity of solutions, Liouville type theorems.

Selected Publications

Papers and preprints can be found here: http://arxiv.org/find/math/1/au:+Cowan_C/0/1/0/all/0/1?skip=0&query_id=4dfe31417f310523

Preprints

• C. Cowan, Supercritical elliptic problems on a perturbation of the ball, (2013) , http://arxiv.org/abs/1302.0364
• C. Cowan, Liouville theorems for stable Lane-Emden systems and biharmonic problems, (2012). http://arxiv.org/abs/1207.1081
• C. Cowan, Regularity of stable solutions of a Lane-Emden type system, (2012) . http://arxiv.org/abs/1206.4273
• C. Cowan and M. Fazly, Regularity of the extremal solutions associated to some elliptic systems, (2012). http://arxiv.org/abs/1206.2629
• C. Cowan, A Liouville theorem for a fourth order Henon equation. (2011) http://arxiv.org/abs/1110.2246
• C. Cowan, Uniqueness of solutions for elliptic systems and fourth order equations involving a parameter. (2011) http://arxiv.org/abs/1109.5206

Accepted/Published

• C. Cowan, N. Ghoussoub,  Regularity of semi-stable solutions to fourth order nonlinear eigenvalue problems on general domains,  Calculus of Variations and Partial Differential Equations,  (Dec 2012).
• C. Cowan and M. Fazly, Uniqueness of solutions for elliptic problems involving the square root of the Laplacian operator. To appear in Mathematical Research Letters
• C. Cowan and M. Fazly, On stable entire solutions of semi linear elliptic equations with weights. Proc. Amer. Math. Soc. 140 (2012).
• C. Cowan, Regularity of the extremal solutions in a Gelfand systems problem. Adv. Nonlinear Stud. Vol. 11, No. 3, (2011), 695-700.
• C. Cowan, P. Esposito and N. Ghoussoub, Regularity of extremal solutions in fourth order nonlinear Eigen value problems on general domains. Discrete Contin. Dyn. Syst. 28 (2010) no.3, 1033-1050.
• C. Cowan, P. Esposito, N. Ghoussoub and A. Moradifam, The critical dimension for a fourth order elliptical problem with singular nonlinearity. Arch. Ration. Mech. Anal. (2009). 19 pp.
• C. Cowan and N. Ghoussoub, Estimates on pull-in distances in microelectromechanical systems models and other nonlinear Eigenvalue problems, SIAM Journal on Mathematical Analysis, 2010, 1949-1966.
• C. Cowan and N. Ghoussoub, Regularity of the extremal solution in a MEMS model with advection. Methods Appl. Anal. (2008) 8pp.
• C. Cowan, Optimal Hardy inequalities for general elliptic operators with improvements. Commun. Pure Appl. Anal. (2010) 31 pp.

Professional Background

• BSc, Simon Fraser University, 2004
• MSc, Simon Fraser University, 2006
• PhD,  University of British Columbia, 2010 
• Postdoctoral fellow at Stanford University, August, 2010  to June, 2012