Directions in Partial Differential Equations. Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 28–30, 1985

Content: 
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
Preface, Page ix
Symposium Speakers, Page xi
Contributors, Pages xiii-xiv
Singular Minimizers and their Significance in Elasticity, Pages 1-16, J.M. Ball
Nonlinear Elliptic Equations Involving the Critical Sobolev Exponent—Survey and Perspectives, Pages 17-36, Haï Brezis
The Differentiability of the Free Boundary for the n-Dimensional Porous Media Equation, Pages 37-42, Luis A. Caffarelli
Oscillations and Concentrations in Solutions to the Equations of Mechanics, Pages 43-53, Ronald J. DiPerna
The Connection Between the Navier-Stokes Equations, Dynamical Systems, and Turbulence Theory, Pages 55-73, Ciprian Foias, Roger Témam
Blow-Up of Solutions of Nonlinear Evolution Equations, Pages 75-88, Avner Friedman
Coherence and Chaos in the Kuramoto-Velarde Equation, Pages 89-111, James M. Hyman, Basil Nicolaenko
Einstein Geometry and Hyperbolic Equations, Pages 113-143, S. Klainerman
Recent Progress on First Order Hamilton-Jacobi Equations, Pages 145-158, P.L. Lions
The Focusing Singularity of the Nonlinear Schrödinger Equation, Pages 159-201, B. LeMesurier, G. Papanicolaou, C. Sulem, P.L. Sulem
A Probabilistic Approach to Finding Estimates for the Heat Kernel Associated with a Hörmander Form Operator, Pages 203-210, Daniel W. Stroock
Discontinuities and Oscillations, Pages 211-233, Luc C. Tartar
The Structure of Manifolds with Positive Scalar Curvature, Pages 235-242, Richard Schoen, Shing-Tung Yau
Index, Pages 243-244