Differential Equations and Complex Analysis

Faculty:

• David R. Adams (Potential Theory and Partial Differential Equations)
• James E. Brennan
• Russell Brown (Harmonic Analysis and Partial Differential Equations)
• Richard Carey (Functional Analysis )
• Henry Howard (Qualitative Theory of Ordinary Differential Equations)
Michel Jabbour (Mechanics of Materials)
• John L. Lewis  (Harmonic Analysis and Partial Differential Equations)
• Zhongwei Shen (Partial Differential Equations,Harmonic Analysis and Mathematical Physics)
• Ted Suffridge (Complex Analysis)
• Changyou Wang (Partial Differential Equations)

Emeritus Faculty

• J. D. Buckholtz (Complex Analysis)
• Michael Freeman (Several Complex Variables)
• Ronald F. Gariepy ( Partial Differential Equations )
• Ray Rishel (Stochastic Optimal Control Theory)

Current Doctoral Students:

• Bjorn Bennewitz (J. L. Lewis)

Former Doctoral Students:

• Mike Dobranski (Ph.D. 2004, "Construction of exponentially growing solutions to first-order systems with non-local potentials'', R. Brown)
• Mary Goodloe (Ph.D. 2004, "Hadamard Products of Convex Harmonic Mappings", T. Suffridge)
• Stacey Mueller (Ph.D. 2004, "Harmonic Mappings and Solutions of a Differential Equation Related to de la Vallee Poussin Means", T. Suffridge)
• Wataru Ishizuka (Ph.D. 2003, "The Weak Compactness and Regularity of Weakly Harmonic Maps", C. Wang and L. Harris)
• Morgan, Christopher.. ( Ph.D. 2001, "On Univalent Harmonic Mappings ", T. Suffridge).
• Sykes, Jeffery D.. ( Ph.D. 1999, "Regularity of Solutions of the Mixed Boundary Problem for Laplace's Equation on a Lipschitz Graph Domain ", R. Brown).
• Muir, Jerry R. Jr.. ( Ph.D. 1999, "Linear and Holomorphic Idempotents and Retracts in the Open Unit Ball of a Commutative C*-algebra with Identity ", T. Suffridge ).
• Galloy, Michael D. ( Ph.D. 1998, "Harmonic Univalent Mappings on the Unit Disk and the Punctured Unit Disk" , T. Suffridge ).
• Thompson, John T. ( Ph.D. 1998, "A Study of Harmonic Mappings on Punctured Domains: An Argument Principle and Some Coefficient Results",  T. Suffridge)
• Hu, Wei ( Ph.D. 1997, "The Initial-boundary Value Problem for Higher Order Differential Operators on Lipschitz Cylinders",  R. Brown )
• Prather, John ( Ph.D. 1997, "Geometric Properties of the Hadamard Product", T.  Suffridge).
• Dorff, Michael  (Ph.D. 1997, "The Inner Mapping Radius and Construction of Harmonic, Univalent Mappings of the Unit Disk", T. Suffridge).
• Tolle, John  (Lecturer, Carnegie Mellon University; Ph.D., 1996, "Location of Inhomogeneities in Elastic Media", R. Gariepy).
• Vandenhouten, Ron  ( Ph.D.1996, "Stability for the Biharmonic and Polyharmonic Obstacle Problems", D. R. Adams).
• Roper, Kevin ( Ph.D. 1995, "Convexity Properties of Holomorphic Mappings in C", T. Suffridge).
• Pupplo-Cody, Evelyn ( Ph.D. 1992,  "A Structural Formula for a Class of Typically Real Functions and Some Consequences", T. Suffridge).
• Hatfield, Barbara (Dean, College of Liberal Arts and Sciences, University of Rio Grande; Ph.D. 1991, "Gradient Estimates for Capillary Problems", R. Gariepy).
• Choe, Hi Jun (Professor,Yonsei University, Korea; Ph.D. 1989, "Regularity for Minimizers of Certain Singular Functionals", R. Gariepy).

 

 
 
 
 
 
 
 
 
 
 
 
 
 

Partial Differential Equations Seminar

• Fall 2006 ,Tuesdays at 11:00 A.M.; Coordinator: John Lewis .