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Partial Differential Equations
Edited by:
D. C. Spencer
Softcover ISBN:  9780821814239 
Product Code:  PSPUM/23 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893098 
Product Code:  PSPUM/23.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Softcover ISBN:  9780821814239 
eBook: ISBN:  9780821893098 
Product Code:  PSPUM/23.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 
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Partial Differential Equations
Edited by:
D. C. Spencer
Softcover ISBN:  9780821814239 
Product Code:  PSPUM/23 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893098 
Product Code:  PSPUM/23.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Softcover ISBN:  9780821814239 
eBook ISBN:  9780821893098 
Product Code:  PSPUM/23.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 23; 1973; 505 ppMSC: Primary 35

Table of Contents

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 — Pseudodifferential 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 ]

JeanMichel 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 CauchyRiemann 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 Kortewegde 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 NavierStokes 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 — Onesided conditions for functions harmonic in the unit disc [ MR 0344488 ]


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 Table of Contents
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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 — Pseudodifferential 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 ]

JeanMichel 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 CauchyRiemann 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 Kortewegde 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 NavierStokes 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 — Onesided conditions for functions harmonic in the unit disc [ MR 0344488 ]
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