Joel Spruck

Department of Mathematics
Johns Hopkins University
Baltimore, MD 21218

Office: Krieger 212; (410) 516-5118
Fax: (410) 516-5549
e-mail: [email protected]

Math745 Introduction to Curvature Flows
Tu-Th 10:30-11:45, Dunning Hall 211

Literature

  • M. Gage and R. Hamilton, The heat equation shrinking convex plane curves.
  • M. Grayson, The heat equation shrinks embedded plane curves to round points.
  • M. Grayson, Shortening embedded curves.
  • U. Abresch and J. Langer, The normalized curve shortening flow and homothetic solutions.
  • S. Angenent, The zero set of a parabolic equation.
  • S. Angenent, Parabolic equations for curves on surfaces I.
  • S. Angenent, Curve shortening and the topology of closed geodesic on surfaces.
  • G. Huisken, Flow by mean curvature of convex surfaces into spheres.
  • B. Andrews, Monotone quantities and unique limits for evoving convex hypersurfaces.
  • B. Andrews, Contraction of convex hypersurfaces in Riemannian spaces.
  • G. Huisken and C. Sinestrari, Convexity estimates for mean curvature flow and singularities of mean convex surfaces.
  • B. White, The size of the singular set in mean curvature flow of mean convex sets.
  • B. White, The nature of singularities in mean curvature flow of mean convex sets.
  • T. Ilmanen, Lectures on mean curvature flow.
  • L. C. Evans and J. Spruck, Motion of level sets by mean curvature I.
  • L. C. Evans and J. Spruck, Motion of level sets by mean curvature II.
  • L. C. Evans and J. Spruck, Motion of level sets by mean curvature III.
  • L. C. Evans and J. Spruck, Motion of level sets by mean curvature IV.
  • A. Kennington, Power concavity and boundary value problems.
  • R. Jensen, The maximum principle for viscosity solutions of fully nonlinear ...
  • L. Ambrosio and H. M. Soner, Level set approach to mean curvature flow in arbitrary codimension.

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