Collected papers  v. 1 ~ v. 2

Fritz John ; Jürgen Moser, editor

[目次]

  • Fritz John
  • Collected Works Contents - Volume 2.- V Papers on Numerical Methods.- [29] On integration of parabolic equations by difference methods (1952).- Commentary on [29].- VI Papers on Elasticity Theory.- [46] Plane strain problems for a perfectly elastic material of harmonic type (1960).- [51a] Perfectly elastic bodies of harmonic type (1963).- [56] Estimates for the derivatives of the stresses in a thin shell and interior shell equations (1965).- [59] Plane elastic waves of finite amplitude (1966).- [70] Distance changes in deformations with small strain (1970).- [71] Refined interior equations for thin plastic shells (1971).- [74] The transition from thin plate to membrane in the case of a plate under uniform tension (1972).- [75] Uniqueness of nonlinear elastic equilibrium for prescribed boundary displacements and sufficiently small strains (1972).- [80] The transition from thin plate to membrane in the equations of V. Karman-Foppl (1975).- [87] Finite amplitude waves in a homogeneous isotropic elastic solid (1977).- [96] Instability of finite amplitude elastic waves (1981).- Commentary on [56], [71], and [74].- VII Papers on Water Waves.- [18] Waves in the presence of an inclined barrier (1948).- [22] On the motion of floating bodies, I (1949).- [24] On the motion of floating bodies, II (1950).- [32] Two-dimensional potential flows with a free boundary (1953).- Commentary on [22], [24], and [32].- VIII Papers on Geometric Inequaities and Convexity.- [5] Moments of inertia of convex regions (1936).- [7] Polar correspondence with respect to a convex region (1937).- [10] Special solutions of certain difference equations (1939).- [11] An inequality for convex bodies (1940).- [12] Discontinuous convex solutions of difference equations (1941).- [17] Extremum problems with inequalities as subsidiary conditions (1948).- [60] On symmetric matrices whose eigenvalues satisfy linear inequalities (1966).- [65] A note on my paper, "On symmetric matrices whose eigenvalues satisfy linear inequalities" (1968).- [63] On quasi-isometric mappings, I (1968).- [63a] Note on the paper, "On quasi-isometric mappings, I" (1972).- [64] On quasi-isometric mappings, II (1969).- [73] Bounds for deformations in terms of average strains (1972).- [84] A criterion for univalencv brought up to date (1976).- Remarks on [17], [63], [64], and [84].- Commentary on [17].- IX Papers on Functions of Bounded Mean Oscillations.- [48] Rotation and strain (1961).- [49] (With L. Nirenberg) On Functions of bounded mean oscillation (1961).- [54] Quasi-isometric mappings (1964).- [78] Inunctions whose gradient is bounded by reciprocal distance from the boundary of their domain (1974).- Remark on [48].- Commentary on [48], [49], [54], [63], [64], [75], and [51a].- X Miscellaneous.- [1] Uber die Vollstandigkeit der Relationen von Morse fur die Anzahlen kritischer Punkte (1943).- [3] Identitaten zwischen dem Integral einer willktirluchen Funktion und unendlichen Reihen (1935).- [116] A representation of Stieltjes integrals by conditionally convergent series (1937).- [20] On harmonic vibrations out of phase with the exciting force (1948).- Collected Mathematical Papers ordered chronologically according to the date of original publication.

「Nielsen BookData」より

[目次]

  • - Volume 1.- Preface.- Foreword.- Publications of Fritz John.- Biographical Sketch.- Acknowledgements.- I Papers on Random Transfer.- [2] Bestimmung einer Funktion aus ihren Integralen uber gewisse Mannigfaltigkeiten (1934).- [4] Abhangigkeiten zwischen den Flachenintegralen 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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この本の情報

書名 Collected papers
著作者等 John, Fritz
Moser, Jürgen
Fritz John
Moser Jurgen
Moser J.
シリーズ名 Contemporary mathematicians
巻冊次 v. 1
v. 2
出版元 Birkhäuser
刊行年月 1985
ページ数 2 v.
大きさ 26 cm
ISBN 0817632662
0817632670
3764332654
3764332662
3764332670
0817632654
NCID BA00145696
※クリックでCiNii Booksを表示
言語 ドイツ語
英語
出版国 アメリカ合衆国
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