Fritz John: Collected Papers Volume 1 / Edition 1

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Product Details

  • ISBN-13: 9780817632663
  • Publisher: Birkhauser Verlag
  • Publication date: 1/1/1985
  • Series: Contemporary Mathematicians Series
  • Edition description: 1985
  • Edition number: 1
  • Pages: 642
  • Product dimensions: 1.44 (w) x 10.00 (h) x 7.00 (d)

Table of Contents

- Volume 1.- Preface.- Foreword.- Publications of Fritz John.- Biographical Sketch.- Acknowledgements.- I Papers on Random Transfer.- [2] Bestimmung einer Funktion aus ihren Integralen über gewisse Mannigfaltigkeiten (1934).- [4] Abhängigkeiten zwischen den Flächenintegralen einer stetigen Funktion (1935).- [8] The ultrahyperbolic differential equation with four independent variables (1938).- Remarks on [2].- Commentary on [2], [4], and [8].- II Papers on Differential Equations.- [9] A note on the maximum principle for elliptic differential equations (1938).- [16] Linear partial differential equations with analytic coefficients (1943).- [23] On linear partial differential equations with analytic coefficients (unique continuation of data) (1949).- [25] The fundamental solution of linear elliptic differential equations with analytic coefficients (1950).- [27] General properties of solutions of linear elliptic partial differential equations (1951).- [31] Derivatives of continuous weak solutions of linear elliptic equations (1953).- [33] Solutions of second order hyperbolic differential equations with constant coefficients in a domain with a plane boundary (1954).- [51] The initial value problem for Maxwell’s equations for two media separated by a plane (1962).- [89] Algebraic conditions for hyperbolicity of systems of partial differential equations (1978).- [90] Addendum to: Algebraic conditions for hyperbolicity of systems of partial differential equations (1978).- Commentary on [16], [23], and [41].- Commentary on [25].- Commentary on [36].- Commentary on [42].- Commentary on [89].- III Papers on Ill-posed Problems.- [14] The Dirichlet problem for a hyperbolic equation (1941).- [38] A note on “improper” problems in partial differential equations (1955).- [39] Numerical solution of the equation of heat conduction for preceding times (1955).- [41] Non-admissible data for differential equations with constant coefficients (1957).- [45] Numerical solution of problems which are not well posed in the sense of Hadamard (1959).- [47] Continuous dependence on data for solutions of partial differential equations with a prescribed bound (1960).- Commentary on [38] and [47].- Commentary on [39] and [47].- IV Papers on Formation of Singularities.- [77] Formation of singularities in one-dimensional nonlinear wave propagation (1974).- [85] Delayed singularity formation in solutions of nonlinear wave equations in higher dimensions (1976).- [92] Blow-up of solutions of nonlinear wave equations in three space dimensions (1979) :.- [94] Blow-up quasi-linear wave equations in three space dimensions (1981).- [98] Lower bounds for the life span of solutions of nonlinear wave equations in three dimensions (1983).- [98] Lower bounds for the life span of solutions of nonlinear wave equations in three dimensions (1983).- [101] Formation of singularities in elastic waves (1984).- Corrections to [85] and [92].- Commentary on [77], [85], [92], and [94].- Collected Mathematical Papers ordered chronologically according to the date of original publication.

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