Partial Differential Equations (Proceedings of Symposia in Pure Mathematics, vol. 4) - ISBN:0821814044

Partial Differential Equations (Proceedings of Symposia in Pure Mathematics, vol. 4)

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A collection of essays addressed at the meeting of proceedings of the fourth symposium in pure mathematics of the American Mathematical Society held at the University of California, Berkeley, California, April 21-22, 1960.
CONTENTS
Extensions and Applications of the De Giorgi-Nash Results. 1
Dirichlet's Principle in the Calculus of Variations 17
Associated Spaces, Interpolation Theorems and the Regularity of Solutions of Differential Problems 23
Lebesgue Spaces of Differentiable Functions and Distributions 33
The Majorant Method 51
A Priori Estimates for Elliptic and Parabolic Equations 73
Differential Equations in Hilbert Spaces 83
A Maximum Property of Cauchy's Problem in Three-Dimensional Space-Time. 91
Comments on Elliptic Partial Differential Equations. 101
Some Unusual Boundary Value Problems 109
A New Proof and Generalizations of the Cauchy-Kowalewski Theorem to Nonanalytic and to Non-normal Systems. 115
Regularity of Continuations of Solutions. 121
Some Local Properties of Elliptic Equations. 127
Estimates at Infinity for Steady State Solutions of the Navier-Stokes Equations. 143
Interior Estimates for Solutions of Elliptic Monge-Ampere Equations. 149
Zero Order A Priori Estimates for Solutions of Elliptic Differential Equations.. 157
INDEX 167

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