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Nonlinear Partial Differential Equations

8th January 2001 to 6th July 2001

Organisers: Haim Brezis (Paris), Norman Dancer (Sydney) John Toland (Bath) and Neil Trudinger (Aust Nat Univ)

Programme Theme

This programme will emphasise selected recent developments in nonlinear elliptic and parabolic partial differential equations, together with geometric and scientific applications. It will be divided into four interrelated themes:

  • Reaction diffusion equations - Particular attention here will be given to transition layers and their applications.

  • Fully nonlinear equations - This area has developed substantially over the last two decades. Emphasis will be on Monge-Ampère equations and viscosity solutions.

  • Variational problems with singularities - This theme will focus on mathematical models arising from material science, particularly from superconductivity and liquid crystals.

  • Geometric evolution equations - The mathematical study of flows determined by geometric quantities has blossomed in recent years, with striking applications to areas such as image processing and relativity.

    Final Scientific Report: 
    University of Cambridge Research Councils UK
        Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons