Fritz John Collected Papers
Volume 2
Herausgeber: Moser, J.
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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
Föppl (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] Extremumproblems 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] Über die Vollständigkeit der Relationen von Morse für die Anzahlen kritischer Punkte (1943).
[3] Identitaten zwischen dem Integral einer willktirlüchen 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.
