Von Neumann’s Hilbert Space Theory and Partial Differential Equations

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Previous article Next article Von Neumann’s Hilbert Space Theory and Partial Differential EquationsK. O. FriedrichsK. O. Friedrichshttps://doi.org/10.1137/1022090PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Richard Courant and , Kurt O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, N. Y., 1948xvi+464 10,637c 0041.11302 Google Scholar[2] Saûl Hahn-Goldberg, Generalized linear and quasilinear accretive systems of partial differential equations, Comm. Partial Differential Equations, 2 (1977), 109–164, Part 1 58:17477 0356.35060 CrossrefGoogle Scholar[3] Kurt O. Friedrichs, Spektraltheorie halbbeschränkter Operatoren, Math. Ann., 109 (1934), 465–487, 110 (1935), pp. 777 ff CrossrefGoogle Scholar[4] Kurt O. Friedrichs, On differential operators in Hilbert spaces, Amer. J. Math., 61 (1939), 523–544 0020.36802 CrossrefGoogle Scholar[5] Kurt O. Friedrichs, On the differentiability of the solutions of linear elliptic differential equations, Comm. Pure Appl. Math., 6 (1953), 299–326 15,430c 0051.32703 CrossrefISIGoogle Scholar[6] Kurt O. Friedrichs, Symmetric hyperbolic linear differential equations, Comm. Pure Appl. Math., 7 (1954), 345–392 16,44c 0059.08902 CrossrefISIGoogle Scholar[7] Kurt O. Friedrichs, Differential forms on Riemannian manifolds, Comm. Pure Appl. Math., 8 (1955), 551–590 19,407a 0066.07504 CrossrefISIGoogle Scholar[8] Kurt O. Friedrichs, Symmetric positive linear differential equations, Comm. Pure Appl. Math., 11 (1958), 333–418 20:7147 0083.31802 CrossrefISIGoogle Scholar[9] Kurt O. Friedrichs, On the laws of relativistic electromagneto-fluid dynamics, Comm. Pure Appl. Math., 27 (1974), 749–808 51:12116 0308.76075 CrossrefISIGoogle Scholar[10] Kurt O. Friedrichs, Conservation equations and the laws of motion in classical physics, Comm. Pure Appl. Math., 31 (1978), 123–131 58:23116 0379.35002 CrossrefISIGoogle Scholar[11] K. O. Friedrichs and , P. D. Lax, Systems of conservation equations with a convex extension, Proc. Nat. Acad. Sci. U.S.A., 68 (1971), 1686–1688 44:3016 0229.35061 CrossrefISIGoogle Scholar[12] Charles B. Morrey, Jr. and , James Eells, Jr., A variational method in the theory of harmonic integrals. I, Ann. of Math. (2), 63 (1956), 91–128 19,407b 0070.09901 CrossrefISIGoogle Scholar[13] R. S. Phillips, Dissipative hyperbolic systems, Trans. Amer. Math. Soc., 86 (1957), 109–173 19,863d CrossrefGoogle Scholar[14] Marshall H. Stone, Linear Transformations in Hilbert Space and their Applications to Analysis, American Mathematical Society, New York, 1932 0005.40003 CrossrefGoogle Scholar[15] John von Neumann, Zur Theorie der unbeschränkten Matrizen, J. Reine Angew. Math., 161 (1929), 208 ff Google Scholar[16] John von Neumann, Allgemeine Eigenwerttheorie Hermitescher Funktional operatoren, Math. Ann., 102 (1929), 50 ff 55.0824.02 Google Scholar[17] John von Neumann, Über adjungierte Funktionaloperatoren, Ann. of Math. (2), 33 (1932), 294–310 1 503 053 0004.21603 CrossrefGoogle Scholar[18] John von Neumann, Mathematische Grundlagen der Quantentheorie, Julius Springer, Berlin, 1932 0005.09104 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Die Habilitation von John von Neumann an der Friedrich-Wilhelms-Universität in Berlin: Urteile über einen ungarisch-jüdischen Mathematiker in Deutschland im Jahr 1927Historia Mathematica, Vol. 37, No. 2 Cross Ref Second-Order Evolution Equations and the Galerkin Method Cross Ref Distributions: The evolution of a mathematical theoryHistoria Mathematica, Vol. 10, No. 2 Cross Ref Volume 22, Issue 4| 1980SIAM Review History Published online:17 February 2012 InformationCopyright © 1980 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1022090Article page range:pp. 486-493ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics