"An outgrowth of lectures delivered at the eighteenth Summer Research Institute of the American Mathematical Society ... held ... from August 9 to August 27, 1971."

Includes bibliographies.

Existence and regularity of hypersurfaces of $R^n$ with prescribed mean curvature / Mario Miranda -- Recent applications of index theory for elliptic operators / I. M. Singer -- On the existence and regularity of solutions of linear partial differential equations / F. Tr�eves -- Pseudo-differential operators and hypoellipticity / J. J. Kohn -- Nodal and critical sets for eigenfunctions of elliptic operators / J. H. Albert -- Analyticity for degenerate elliptic equations and applications / M. S. Baouendi and C. Goulaouic -- Prolongement et existence des solutions des syst�emes hyperboliques non stricts �a coefficients analytiques / Jean-Michel Bony and Pierre Schapira -- Growth properties of solutions of certain "canonical" hyperbolic equations with subharmonic initial data / Robert Carroll and Howard Silver -- Tangential Cauchy-Riemann complexes on spheres / G. B. Folland -- Semibounded boundary problems for elliptic operators / Gerd Grubb -- Complexes of differential operators / Victor Guillemin -- Removable singularities and structure theorems for positive currents / Reese Harvey -- The Cauchy problem for $\bar \partial $ / C. Denson Hill -- On hypoellipticity of second order equations / O. A. Ole�inik -- On the exterior problem for the reduced wave equation / Ralph S. Phillips -- General theory of hyperbolic mixed problems / Jeffrey Rauch -- Analytic torsion / D. B. Ray and I. M. Singer -- An application of von Neumann algebras to finite difference equations / David G. Schaeffer -- Evolution equations not of classical type and hyperdifferential operators / Stanly Steinberg -- The change in solution due to change in domain / Gilbert Strang and Alan E. Berger -- Variations of Korn's and Sobolev's equalities / Monty J. Strauss -- Probability theory and the strong maximum principle / Daniel W. Stroock and S. R. S. Varadhan -- Coerciveness for the Neumann problem / W. J. Sweeney -- A Fredholm theory for elliptic partial differential operators in $R^n$ / Homer F. Walker -- An introduction to regularity theory for parametric elliptic variational problems / W. K. Allard and F. J. Almgren, Jr. -- Two minimax problems in the calculus of variations / Melvyn S. Berger -- Existence theory for boundary value problems for quasilinear elliptic systems with strongly nonlinear lower order terms / Felix E. Browder -- Existence theorems for problems of optimization with partial differential equations / Lamberto Cesari -- Topological methods in the theory of shock waves / Charles C. Conley and Joel A. Smoller -- Generalizations of the Korteweg-de Vries equation / Theodore E. Dushane -- General relativity, partial differential equations, and dynamical systems / Arthur E. Fischer and Jerrold E. Marsden -- Elliptic equations on minimal surfaces / Enrico Giusti -- Justification of matched asymptotic expansion solutions for some singular perturbation problems / Frank Hoppensteadt -- Deformations leaving a hypersurface fixed / Howard Jacobowitz -- The regularity of the solution to a certain variational inequality / David Kinderlehrer -- Asymptotics of a nonlinear relativistic wave equation / Cathleen S. Morawetz and Walter A. Strauss -- Propagation of zeroes of solutions of P.D.E.'s along leaves of foliations / E. C. Zachmanoglou -- Affine connections with zero torsion / Bohumil Cenkl -- On the Spencer cohomology of a Lie equation / Hubert Goldschmidt -- Curvature functions for $2$-manifolds / Jerry L. Kazdan and F. W. Warner -- Scattering with long range potentials / P. Alsholm and Tosio Kato -- What is renormalization? / James Glimm and Arthur Jaffe -- Quantum fields and Markoff fields / Edward Nelson -- On the steady fall of a body in a Navier-Stokes fluid / H. F. Weinberger --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.