Kirk Lancaster

Kirk Lancaster, Professor

Partial Differential Equations; PhD, Oregon State University, 1981

Contact

Awards

  • 1996 Wichita State University Leadership in the Advancement of Teaching Award
  • Math Reviews Featured Review of the paper: Kirk Lancaster and David Siegel, Existence and behavior of the radial limits of a bounded capillary surface at a corner, Pacific Journal of Mathematics, Volume 176 (1996), no. 1, 165-194.

PhD Students

Hasan Almefleh, "Asymptotic Behavior of Solutions of Elliptic Partial Differential Equations", PhD thesis, 2003

Research

Dr. Lancaster works primarily in the areas of the calculus of variations and geometric partial differential equations with particular interest in minimal and capillary surfaces, (geometric) parabolic flows such as mean curvature flows and Phragmen-Lindelof theorems on the behavior of solutions of nonlinear partial differential equations at boundary points. Additional interests include integral geometry (e.g. tomography) and geometric measure theory.

Selected Publications

  • Hasan Almefleh and Kirk Lancaster, Phragmen-Lindelof theorems in cylinders, Proceedings of the Royal Society of Edinburgh, Section A, Volume 135 (2005), no. 3, 439-459.
  • Zhiren Jin and Kirk Lancaster, A Phragmen-Lindelof theorem and the behavior at infinity of solutions of non-hyperbolic equations, Pacific Journal of Mathematics, Volume 211 (2003), no. 1, 101-121.
  • Kirk Lancaster, Phragmen-Lindelof theorems in slabs for some systems of non-hyperbolic second-order quasi-linear equations, Proceedings of the Royal Society of Edinburgh, Section A, Volume 133 (2003), no. 5, 1155-1173.
  • Zhiren Jin and Kirk Lancaster, Phragmen-Lindelof theorems and the asymptotic behaviour of solutions of, quasilinear elliptic equations in slabs, Proceedings of the Royal Society of Edinburgh. Section A, Volume 130 (2000), no. 2, 335-373.
  • Kirk Lancaster and David Siegel, Existence and behavior of the radial limits of a bounded capillary surface at, a corner, Pacific Journal of Mathematics, Volume 176 (1996), no. 1, 165-194.
  • Peter Kuchment, Kirk Lancaster and Lyudmila Mogilevskaya, On local tomography, Inverse Problems, Volume 11 (1995), no. 3, 571-589.