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Partial Differential Equations
About this Title
D. C. Spencer, Editor
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
1973; Volume 23
ISBNs: 978-0-8218-1423-9 (print); 978-0-8218-9309-8 (online)
DOI: https://doi.org/10.1090/pspum/023
Table of Contents
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Front/Back Matter
Lecture series
- Mario Miranda – Existence and regularity of hypersurfaces of $R^n$ with prescribed mean curvature
- I. M. Singer – Recent applications of index theory for elliptic operators [MR 0341538]
- F. Trèves – On the existence and regularity of solutions of linear partial differential equations [MR 0338542]
Introductory expository lecture
- J. J. Kohn – Pseudo-differential operators and hypoellipticity [MR 0338592]
Seminar on linear problems
- J. H. Albert – Nodal and critical sets for eigenfunctions of elliptic operators [MR 0334291]
- M. S. Baouendi and C. Goulaouic – Analyticity for degenerate elliptic equations and applications [MR 0352680]
- Jean-Michel Bony and Pierre Schapira – Prolongement et existence des solutions des systèmes hyperboliques non stricts à coefficients analytiques [MR 0606064]
- Robert Carroll and Howard Silver – Growth properties of solutions of certain “canonical” hyperbolic equations with subharmonic initial data [MR 0358107]
- G. B. Folland – Tangential Cauchy-Riemann complexes on spheres [MR 0333480]
- Gerd Grubb – Semibounded boundary problems for elliptic operators [MR 0344668]
- Victor Guillemin – Complexes of differential operators [MR 0426061]
- Reese Harvey – Removable singularities and structure theorems for positive currents [MR 0361155]
- C. Denson Hill – The Cauchy problem for $\bar \partial$ [MR 0348141]
- O. A. Oleĭnik – On hypoellipticity of second order equations [MR 0470454]
- Ralph S. Phillips – On the exterior problem for the reduced wave equation [MR 0338545]
- Jeffrey Rauch – General theory of hyperbolic mixed problems [MR 0437943]
- D. B. Ray and I. M. Singer – Analytic torsion [MR 0339293]
- David G. Schaeffer – An application of von Neumann algebras to finite difference equations [MR 0336062]
- Stanly Steinberg – Evolution equations not of classical type and hyperdifferential operators [MR 0336130]
- Gilbert Strang and Alan E. Berger – The change in solution due to change in domain [MR 0337023]
- Monty J. Strauss – Variations of Korn’s and Sobolev’s equalities [MR 0341064]
- Daniel W. Stroock and S. R. S. Varadhan – Probability theory and the strong maximum principle [MR 0380109]
- W. J. Sweeney – Coerciveness for the Neumann problem [MR 0353375]
- Homer F. Walker – A Fredholm theory for elliptic partial differential operators in $R^n$ [MR 0333836]
Seminar on nonlinear problems
- W. K. Allard and F. J. Almgren, Jr. – An introduction to regularity theory for parametric elliptic variational problems [MR 0385688]
- Melvyn S. Berger – Two minimax problems in the calculus of variations [MR 0336531]
- Felix E. Browder – Existence theory for boundary value problems for quasilinear elliptic systems with strongly nonlinear lower order terms [MR 0340815]
- Lamberto Cesari – Existence theorems for problems of optimization with partial differential equations [MR 0343126]
- Charles C. Conley and Joel A. Smoller – Topological methods in the theory of shock waves [MR 0340836]
- Theodore E. Dushane – Generalizations of the Korteweg-de Vries equation [MR 0333490]
- Arthur E. Fischer and Jerrold E. Marsden – General relativity, partial differential equations, and dynamical systems [MR 0407886]
- Enrico Giusti – Elliptic equations on minimal surfaces [MR 0336048]
- Frank Hoppensteadt – Justification of matched asymptotic expansion solutions for some singular perturbation problems [MR 0338534]
- Howard Jacobowitz – Deformations leaving a hypersurface fixed [MR 0338939]
- David Kinderlehrer – The regularity of the solution to a certain variational inequality [MR 0388221]
- Cathleen S. Morawetz and Walter A. Strauss – Asymptotics of a nonlinear relativistic wave equation [MR 0333492]
- E. C. Zachmanoglou – Propagation of zeroes of solutions of P.D.E.’s along leaves of foliations [MR 0338531]
Seminar on geometry
- Bohumil Cenkl – Affine connections with zero torsion [MR 0339206]
- Hubert Goldschmidt – On the Spencer cohomology of a Lie equation [MR 0343322]
- Jerry L. Kazdan and F. W. Warner – Curvature functions for $2$-manifolds [MR 0343207]
Seminar on mathematical physics
- P. Alsholm and Tosio Kato – Scattering with long range potentials [MR 0385351]
- James Glimm and Arthur Jaffe – What is renormalization? [MR 0347272]
- Edward Nelson – Quantum fields and Markoff fields [MR 0337206]
- H. F. Weinberger – On the steady fall of a body in a Navier-Stokes fluid [MR 0416234]
- A. S. Wightman – Relativistic wave equations as singular hyperbolic systems [MR 0342075]
Seminar on singular integral operators
- Walter Littman – $L^p$-$L^q$-estimates for singular integral operators arising from hyperbolic equations
- Victor L. Shapiro – One-sided conditions for functions harmonic in the unit disc [MR 0344488]