Analysis and Partial Differential Equations

Faculty:

• David R. Adams, Professor (Potential Theory and Partial Differential Equations), Ph.D., Univ. of Minnesota, 1969
• James E. Brennan, Professor (Potential Theory and Complex Analysis), Ph.D., Brown Univ., 1968
• Russell Brown, Professor (Harmonic Analysis and Partial Differential Equations), Ph.D., Univ. of Minnesota, 1987
• Richard Carey, Professor (Functional Analysis), Ph.D., SUNY-Stony Brook, 1970
• Peter Hislop, Professor (Mathematical Physics), Ph.D., Univ. of California-Berkeley, 1984
• Michel Jabbour, Associate Professor (Mathematical Aspects of Materials Science), Ph.D., Cal Tech, 1999
• John L. Lewis, Professor (Harmonic Analysis and Partial Differential Equations), Ph.D., Univ. of Illinois-Urbana Champaign, 1970
• Chi-Sing Man, Professor (Continuum Mechanics and Thermodynamics), Ph.D, Univ. of John Hopkins, 1980
• Robert Molzon, Associate Professor (Several Complex Variables), Ph.D, John Hopkins, 1977
• Peter Perry, Professor (Mathematical Physics), Ph.D., Princeton Univ., 1981
• Zhongwei Shen, Professor and Chair (Partial Differential Equations, Harmonic Analysis, and Mathematical Physics), Ph.D., Univ. of Chicago, 1989
• Ted Suffridge, Professor (Complex Analysis), Ph.D., Univ. of Kansas, 1965
• Changyou Wang, Professor (Nonlinear Partial Differential Equations), Ph.D., Rice Univ., 1996

Emeritus Faculty

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

Current Ph.D Students:

• Christopher Frayer
• Jun Geng
• Phuoc Ho
• Teng Jiang
• Joel Kilty
• Nicholas Kirby
• Julie Miker
• Erin Militzer
• Zhongyi Nie
• Justin Taylor

Ph.D. Dissertations Since 1989:

• Aekyoung Shin Kim (2007), The L^p Neumann Problem for Laplace Equation in Convex Domains (Advisor: Z. Shen).
• Yuho Shin (2006), Geodesics of a Two-Step Nilpotent Lie Group (Advisor: P. Perry).
• Bjorn Bennewitz (2006), Nonuniqueness in a Free Boundary Problem (Advisor: J. L. Lewis).
• Mike Dobranski (2004), Construction of Exponentially Growing Solutions to First-Order Systems with Non-Local Potentials (Adviosr: R. Brown).
• Mary Goodloe (2004), Hadamard Products of Convex Harmonic Mappings (Advisor: T. Suffridge).
• Stacey Mueller (2004), Harmonic Mappings and Solutions of a Differential Equation Related to de la Vallee Poussin Means (Advisor: T. Suffridge).
• Wataru Ishizuka (2003), The Weak Compactness and Regularity of Weakly Harmonic Maps (Advisors: C. Wang and L. Harris).
• Christopher Morgan (2001), On Univalent Harmonic Mappings (Advisor: T. Suffridge).
• Jeffery D. Sykes (1999), Regularity of Solutions of the Mixed Boundary Problem for Laplace's Equation on a Lipschitz Graph Domain (Advisor: R. Brown).
• Jerry R. Muir, Jr. (1999), Linear and Holomorphic Idempotents and Retracts in the Open Unit Ball of a Commutative C*-algebra with Identity (Advisor: T. Suffridge ).
• Michael D. Galloy (1998), Harmonic Univalent Mappings on the Unit Disk and the Punctured Unit Disk (Advisor: T. Suffridge ).
• John T. Thompson (1998), A Study of Harmonic Mappings on Punctured Domains: An Argument Principle and Some Coefficient Results (Advisor: T. Suffridge).
• Wei Hu (1997), The Initial-boundary Value Problem for Higher Order Differential Operators on Lipschitz Cylinders (Advisor: R. Brown).
• John Prather (1997), Geometric Properties of the Hadamard Product (Advisor: T. Suffridge).
• Michael Dorff (1997), The Inner Mapping Radius and Construction of Harmonic, Univalent Mappings of the Unit Disk (Advisor: T. Suffridge).
• John Tolle (1996), Location of Inhomogeneities in Elastic Media (Advisor: R. Gariepy).
• Ron Vandenhouten (1996), Stability for the Biharmonic and Polyharmonic Obstacle Problems (Advisor: D. R. Adams).
• Kevin Roper (1995), Convexity Properties of Holomorphic Mappings in C (Advisor: T. Suffridge).
• Evelyn Pupplo-Cody (1992), A Structural Formula for a Class of Typically Real Functions and Some Consequences (Advisor: T. Suffridge).
• Barbara Hatfield (1991), Gradient Estimates for Capillary Problems (Advisor: R. Gariepy).
• Hi Jun Choe (1989), Regularity for Minimizers of Certain Singular Functionals (Advisor: R. Gariepy).

Partial Differential Equations Seminar

• Tuesdays at 11:00 A.M.; Coordinator: Changyou Wang .

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