Philip W. Schaefer Professor Department of Mathematics The University of Tennessee Knoxville, TN 37996 Office: (865) 974-6874  Fax: (865) 974-6576  schaefer@math.utk.edu

Research Interests

• Partial Differential Equations -generally, elliptic and parabolic pdes (typified by the Laplace and heat equations). More specifically, overdetermined boundary value  problems ( too much data puts constraints on the geometry of the region for existence of a solutiion), maximum principles (where the maximun can be attained and consequences thereof such as bounds for the solution and/or its gradient), temporal and spatial decay results (use differential inequalities or maximum principles to determine the exponential decay of solutions), Liouville theorems (conditions for elliptic systems or fourth order equations to have entire solutions which are constant), radial solutions ( explicit solutions of nonlinear higher ordered elliptic equations). These results are for linear and nonlinear equations.
  
• See list of publications in vita

Teaching Schedule and Office Hours  

    Spring 2002 -- Math 300 (Introduction to Abstract Mathematics) and Math 141 (Calculus I).
    See above link for detailed information.

Biography

Research leaves have been spent at Universitat Karlsruhe (Germany) in 1985 and Cornell University in 1988 and 1992. In addition, I have participated in conferences recently in Glasgow, Scotland in 1990, Zurich, Switzerland in 1994, Athens, Greece in 1996, and Catania, Sicily in 2000.

As a faculty member at UTK, I have served on numerous department, college, and university committees and taught classes mostly in analysis, i.e., calculus, advanced calculus, analytical applied mathematics, ordinary and partial differential equations at the undergraduate and graduate levels.
 

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Useful Links from Here

• IMA
• SIAM
• AMS