Hans Lewy
Hans Lewy | |
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several complex variables | |
Doctoral advisor | Richard Courant[2] |
Doctoral students | David Kinderlehrer |
Hans Lewy (20 October 1904 – 23 August 1988) was an American
Life
Lewy was born to a
At the recommendation of Courant, Lewy was granted a
During World War II, Lewy obtained a pilot's license, but then worked at the Aberdeen Proving Ground. He married Helen Crosby in 1947.[5]
In 1950, Lewy was fired from Berkeley for refusing to sign a loyalty oath.
He retired from Berkeley in 1972, and in 1973 became one of two Ordway Professors of Mathematics at the University of Minnesota. He died on August 23, 1988, in Berkeley.[5][6][8]
Lewy is known for his contributions to partial differential equations. In 1957, his famous example of a second-order linear partial differential equation was so stunning and unexpected that the whole field steered in a new direction, as well as shaping modern analysis in a significant way. Based on this example, Louis Nirenberg, Lars Hörmander and others have outlined some important changes to the theory and structure of the field. This was adopted by many analysts and mathematicians as a major development.
He also worked on several complex variables in relation to nonlinear hyperbolic equations and elliptic equations, well-posedness for initial value problems of wave fronts (now commonly called
Awards and honors
Lewy was elected to the National Academy of Sciences in 1964, and was also a member of the American Academy of Arts and Sciences.[6] He became a foreign member of the Accademia dei Lincei in 1972.[5] He was awarded a Leroy P. Steele Prize in 1979,[5] and a Wolf Prize in Mathematics in 1986 for his work on partial differential equations.[1] In 1986, the University of Bonn gave him an honorary doctorate.[8]
Publications
- Lewy, Hans (1935). "A priori limitations for Monge-Ampère equations". MR 1501794.
- —— (1936). "On the non-vanishing of the Jacobian in certain one-to-one mappings". MR 1563404.
- —— (1936). "Generalized integrals and differential equations". PMID 16588088.
- —— (1937). "A priori limitations for Monge-Ampère equations. II". MR 1501906.
- —— (1938). "On the existence of a closed convex surface realizing a given Riemannian metric". PMID 16588189.
- —— (1938). "Generalized integrals and differential equations". MR 1501953.
- —— (1938). "On differential geometry in the large. I. Minkowski's problem". MR 1501942.
- Lewy, Hans; Green, John Willie (1939). Aspects of the Calculus of Variations. Berkeley: hdl:2027/wu.89062910575; notes by J. W. Green from lectures by Hans Lewy, vi+96 pp.
{{cite book}}
: CS1 maint: postscript (link)[9] - Lewy, Hans (1946). "Water waves on sloping beaches". MR 0022134.
- —— (1951). "On the boundary behavior of minimal surfaces". PMID 16578356.
- —— (1952). "A note on harmonic functions and a hydrodynamical application". MR 0049399.
- —— (1959). "On the reflection laws of second order differential equations in two independent variables". MR 0104048.
A selection of his work, edited by David Kinderlehrer and including his most important works, was published as the two volume work (Kinderlehrer 2002a) and (Kinderlehrer 2002b)
- François Treves.
- Zbl 1147.01335.
The following works are included in his "Selecta" in their original language or translated form.
- Zbl 0145.40402. A freely downloadable version of this one can be found here
- Lewy, Hans (1957), "An example of a smooth linear partial differential equation without solution", Zbl 0078.08104.
- Lewy, Hans (1977), On the boundary behavior of holomorphic mappings (Lezione tenuta il 3 maggio 1976) (Lecture given on May 3, 1976), Contributi del Centro Linceo Interdisciplinare di Scienze Matematiche e Loro Applicazioni, vol. 35, Rome: Accademia Nazionale dei Lincei, p. 8.
See also
References
- ^ a b Wolf Foundation (2003), THE 1984/5 WOLF FOUNDATION PRIZE IN MATHEMATICS (in Hebrew), retrieved September 14, 2013.
- ^ Hans Lewy at the Mathematics Genealogy Project
- ISBN 9789812811769.
- ^ a b c Albers, Donald J.; Alexanderson, Gerald L.; Reid, Constance, eds. (1990), "Hans Lewy", More Mathematical People, Harcourt Brace Jovanovich, pp. 180–194.
- ^ ISBN 0-8176-3524-6.
- ^ a b c d "Dr. Hans Lewy, 83, Mathematics Professor", The New York Times, September 2, 1988
- ^ ISBN 978-0-7876-3939-6.
- ^ Berkeley, CA: University of California, Berkeley, pp. 85–87.
- .
External links
- The Bancroft Library (2009), Guide to the Hans Lewy Papers, vol. Collection number BANC MSS 91/147 cz, retrieved July 9, 2011.
- from the [Eugene B. Dynkin Collection of Mathematics Interviews Eugene B. Dynkin Collection of Mathematics Interviews ].
- "Lewy ‹léevi›, Hans", Enciclopedia Treccani.
- O'Connor, John J.; Robertson, Edmund F., "Hans Lewy", MacTutor History of Mathematics Archive, University of St Andrews