Hans Lewy
German born American mathematician
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Mathematics
Hans Lewy's Degrees
- PhD Mathematics University of Göttingen
Why Is Hans Lewy Influential?
(Suggest an Edit or Addition)According to Wikipedia, Hans Lewy was a Jewish American mathematician, known for his work on partial differential equations and on the theory of functions of several complex variables. Life Lewy was born in Breslau, Silesia, on October 20, 1904. He began his studies at the University of Göttingen in 1922, after being advised to avoid the more local University of Breslau because it was too old-fashioned, supporting himself during the Weimar hyperinflation by a side job doing railroad track maintenance. At Göttingen, he studied both mathematics and physics; his teachers there included Max Born, Richard Courant, James Franck, David Hilbert, Edmund Landau, Emmy Noether, and Alexander Ostrowski. He earned his doctorate in 1926, at which time he and his friend Kurt Otto Friedrichs both became assistants to Courant and privatdozents at Göttingen. The famous Courant-Friedrichs-Lewy condition originated from that time in 1928.
Hans Lewy's Published Works
Published Works
- Über die partiellen Differenzengleichungen der mathematischen Physik (1928) (3507)
- On the non-vanishing of the Jacobian in certain one-to-one mappings (1936) (481)
- Erratum: An Example of a Smooth Linear Partial Differential Equation Without Solution (1957) (386)
- On the regularity of the solution of a variational inequality (1969) (341)
- On the Local Character of the Solutions of an Atypical Linear Differential Equation in Three Variables and a Related Theorem for Regular Functions of Two Complex Variables (1956) (174)
- A note on harmonic functions and a hydrodynamical application (1952) (108)
- On the Boundary Behavior of Minimal Surfaces. (1951) (105)
- On differential geometry in the large. I. Minkowski’s problem (1938) (103)
- Chaldaean oracles and theurgy : mysticism, magic and platonism in the later Roman Empire (1978) (97)
- On the smoothness of superharmonics which solve a minimum problem (1970) (93)
- On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere (1977) (85)
- On the Existence of a Closed Convex Surface Realizing a Given Riemannian Metric. (1938) (77)
- On the regularity of the solutions of the variational inequalities (1969) (74)
- On the reflection laws of second order differential equations in two independent variables (1959) (74)
- On minimal surfaces with partially free boundary (1951) (67)
- Water waves on sloping beaches (1946) (61)
- On existence and smoothness of solutions of some non-coercive variational inequalities (1971) (58)
- Über das Anfangswertproblem einer hyperbolischen nichtlinearen partiellen Differentialgleichung zweiter Ordnung mit zwei unabhängigen Veränderlichen (1928) (54)
- Axially Symmetric Cavitational Flow (1952) (52)
- Über die Eindeutigkeit und das Abhängigkeitsgebiet der Lösungen beim Anfangswertproblem linearer hyperbolischer Differentialgleichungen (1928) (40)
- A priori limitations for solutions of Monge-Ampère equations (1935) (39)
- On the non-vanishing of the jacobian of a homeomorphism by harmonic gradients (1968) (37)
- Josephus the Physician: A Mediæval Legend of the Destruction of Jerusalem (1938) (31)
- On Linear Difference-Differential Equations with Constant Coefficients (1957) (31)
- Developments at the confluence of analytic boundary conditions (1950) (27)
- Neuer Beweis des analytischen Charakters der Lösungen elliptischer Differentialgleichungen (1929) (27)
- Das Anfangswertproblem einer beliebigen nichtlinearen hyperbolischen Differentialgleichung beliebiger Ordnung in zwei Variablen. Existenz, Eindeutigkeit und Abhängigkeitsbereich der Lösung (1928) (25)
- On hulls of holomorphy (1960) (23)
- On the coincidence set in variational inequalities (1972) (22)
- A priori limitations for solutions of Monge-Ampère equations. II (1937) (21)
- Hekataios von Abdera περὶ Ἰουδαίων. (1932) (18)
- Uniqueness of water waves on a sloping beach (1961) (12)
- Über die Methode der Differenzengleichungen zur Lösung von Variations- und Randwertproblemen (1928) (12)
- On convergence in length (1935) (11)
- On steady free surface flow in a gravity field (1952) (11)
- Three Jewish Philosophers (1960) (10)
- Aristotle and the Jewish Sage According to Clearchus of Soli (1938) (9)
- [27-3] Über die Eindeutigkeit und das Abhängigkeitsgebiet der Lösungen beim Anfangswertproblem linearer hyperbolischer Differentialgleichungen, (With H. Lewy), Math. Ann. 98(1927), 192–204 (1986) (8)
- On the analyticity of minimal surfaces at movable boundaries of prescribed length. (1987) (8)
- A Property of Spherical Harmonics (1938) (5)
- Composition of Solutions of Linear Partial Differential Equations in Two Independent Variables (1959) (5)
- On analyticity in homogeneous first order partial differential equations (1976) (5)
- Aspects of the Calculus of Variations (1940) (5)
- Eindeutigkeit der Lösung des Anfangsproblems einer elliptischen Differentialgleichung zweiter Ordnung in zwei Veränderlichen (1931) (5)
- [28-2] (With R.Courant and H. Lewy), Über die partiellen Differenzengleichungen der mathematischen Physik, Math. Ann., 100(1928), 32–74. English translation [67-2] (1986) (4)
- Expansion of solutions of t' Hooft's equation. A study in the confluence of analytic boundary conditions (1979) (4)
- About the Hessian of a Spherical Harmonic (1969) (3)
- THE DEVELOPMENT OF FUNCTIONS ASSOCIATED WITH SURFACE WAVES OVER AN INCLINED BOTTOM (1954) (3)
- Extension of Huyghens' principle to the ultrahyperbolic equation (1955) (3)
- Neuer Beweis des analytischen Charakters der Lösungen elliptischer Differentialgleichungen (2)
- Generalized Integrals and Differential Equations. (1936) (2)
- On the relations governing the boundary values of analytic functions of two complex variables (1956) (2)
- The wave equation as limit of hyperbolic equations of higher order (1965) (1)
- GENERALIZATION OF A THEOREM ON THE SPATIAL ANGLE (1971) (1)
- On conjugate solutions of certain partial differential equations (1980) (1)
- [32-1] Über fortsetzbare Anfangsbedingungen bei hyperbolischen Differentialgleichungen in drei Veränderlichen (With H. Lewy), Ges. Wiss. Göttingen, Math. — Phys. Klasse, (1932), 135–143. [54-1] Symmetric hyperbolic differential equations, Comm. Pure Appl. Math., VII (1954), 345–392 (1986) (1)
- Imaginary Journeys from Palestine to France (1938) (1)
- Über fortsetzbare Anfangsbedingungen bei hyperbolischen Differentialgleichungen in drei Veränderlichen. (1986) (0)
- On the definiteness of quadratic forms which Obey conditions of symmetry (1965) (0)
- Eindeutigkeit der Lösung des Anfangsproblems einer elliptischen Differentialgleichung zweiter Ordnung in zwei Veränderlichen (1931) (0)
- Aristotelis PoliticaPlutarchi Moralia. Vol. IIITheophrastus: MetaphysicsLes Cultes de PatrasEssays and AddressesSymbola in Novam Eunapii Vitarum EditionemByzantinische Geschichtschreiber und ChronistenThe Dolphin in the Literature and Art of Greece and RomeSobria EbrietasKosmos und Sympathie (0)
- Von den Machterweisen Gottes : eine zeitgenössische Darstellung der Judenverfolgungen unter dem Kaiser Caligula (1936) (0)
- On free boundary problems in two dimensions (1985) (0)
- On Atypical Variational Problems (1989) (0)
- Neue Philontexte in der Überarbeitung Desambrosius (1932) (0)
- A Latin Hymn to the Creator Ascribed to Plato (1946) (0)
- Hans Lewy Interview October 7, 1981 (1981) (0)
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