Selected works of Eberhard Hopf : with commentaries / Cathleen S. Morawetz, James B. Serrin, Yakov G. Sinai, editors.

Format:

Book

Author/Creator:

Hopf, Eberhard, 1902-

Contributor:

Morawetz, Cathleen S.

Serrin, J. (James), 1926-2012.

Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich), 1935-

Standardized Title:

Papers. Selections

Language:

English

German

Subjects (All):

Mathematical analysis.

Fluid dynamics.

Ergodic theory.

Physical Description:

xxiii, 396 pages : illustrations, portrait ; 26 cm

Place of Publication:

Providence, R.I. : American Mathematical Society, [2002]

Language Note:

English and German.

Contents:

Curriculum Vitae xv

Selecta with Commentaries

Part I Papers on Bifurcation, Fluid Dynamics, Integral Equations and Partial Differential Equations / Edited by Cathleen S. Morawetz, Edited by James B. Serrin 1

Elementare Bemerkungen uber die Losungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus 3

A Remark on Linear Elliptic Differential Equations of Second Order 15

Zum analytischen Charakter der Losungen regularer zweidimensionaler Variationsprobleme 21

Uber eine Klasse singularer Integralgleichungen (with Norbert Wiener) 33

Uber den funktionalen, insbesondere den analytischen Charakter der Losungen elliptischer Differentialgleichungen zweiter Ordnung 49

Abzweigung einer periodischen Losung von einer stationaren Losung eines Differentialsystems 91

Repeated branching through loss of stability, an example 119

A mathematical example displaying features of turbulence 127

On S. Bernstein's theorem on surfaces z(x, y) of nonpositive curvature 151

The Partial Differential Equation u[subscript t] + uu[subscript x] = [mu]u[subscript xx] 159

Uber die Anfangswertaufgabe fur die hydrodynamischen Grundgleichungen 193

Hamilton's theory and generalized solutions of the Hamilton-Jacobi equation 221

Part II Papers in Ergodic Theory / Edited by Yakov G. Sinai 271

Statistik der geodatischen Linien in Mannigfaltigkeiten negativer Krummung 273

Statistik der Losungen geodatischer Probleme vom unstabilen Typus. II 317

Closed Surfaces without Conjugate Points 339

Statistical Hydromechanics and Functional Calculus 347

On the Ergodic Theorem for Positive Linear Operators 387.

Notes:

"Works of Eberhard Hopf" (p. xvii-xxi).

Includes bibliographical references.

ISBN:

082182077X

OCLC:

50511293