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Selected works of Eberhard Hopf : with commentaries

Author: Eberhard Hopf; Cathleen S Morawetz; J Serrin; I︠A︡ G Sinaĭ
Publisher: Providence, R.I. : American Mathematical Society, ©2002.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Celebrates the work of Eberhard Hopf, a founding father of ergodic theory, a mathematician who produced many beautiful, elegantly written results in integral equations and partial differential  Read more...

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Genre/Form: Bibliographie
Named Person: Eberhard Hopf; Eberhard (Mathematiker) Hopf
Document Type: Book
All Authors / Contributors: Eberhard Hopf; Cathleen S Morawetz; J Serrin; I︠A︡ G Sinaĭ
ISBN: 082182077X 9780821820773
OCLC Number: 50511293
Language Note: English and German.
Description: xxiii, 396 pages : illustrations ; 27 cm
Contents: Part I: Elementare Bemerkungen uber die Losungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus by E. Hopf Commentary by J. B. Serrin A remark on linear elliptic differential equations of second order by E. Hopf Commentary by J. B. Serrin Zum analytischen Charakter der Losungen regularer zweidimensionaler Variationsprobleme by E. Hopf Commentary by H. Weinberger Uber eine Klasse singularer Integralgleichungen by N. Wiener and E. Hopf Commentary by H. Widom Uber den funktionalen, insbesondere den analytischen Charakter der Losungen elliptscher Differentialgleichungen zweiter Ordnung by E. Hopf Commentary by H. Weinberger Abzweigung einer periodischen Losung von einer stationaren Losung eines Differentialsystems by E. Hopf Commentary by M. Golubitsky and P. H. Rabinowitz Repeated branching through loss of stability. An example by E. Hopf A mathematical example displaying features of turbulence by E. Hopf Commentary by R. Temam On S. Bernstein's theorem on surfaces $z(x,y)$ of nonpositive curvature by E. Hopf Commentary by L. Nirenberg The partial differential equation $u_t+uu_x=\mu_{xx}$ by E. Hopf Commentary by P. D. Lax Uber die Anfangswertaufgabe fur die hydrodynamischen Grundgleichungen by E. Hopf Commentary by J. B. Serrin Hamilton's theory and generalized solutions of the Hamilton-Jacobi equation by E. D. Conway and E. Hopf Commentary by C. S. Morawetz Part II: Statistik der geodatischen Linien in Mannigfaltigkeiten negativer Krummung by E. Hopf Statistik der Losungen geodatischer Probleme vom unstabilen Typus. II by E. Hopf Commentary by Ya. G. Sinai Closed surfaces without conjugate points by E. Hopf Commentary by Ya. G. Sinai Statistical hydromechanics and functional calculus by E. Hopf Commentary by Ya. G. Sinai On the ergodic theorem for positive linear operators by E. Hopf Commentary by D. Ornstein Acknowledgments.
Other Titles: Papers.
Responsibility: Cathleen S. Morawetz, James B. Serrin, Yakov G. Sinai, editors.

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