Charles Morrey

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Charles Morrey in Berkeley , 1974

Charles Bradfield Morrey Jr. (born July 23, 1907 in Columbus , Ohio, † April 29, 1984 ) was an American mathematician who dealt with the calculus of variations and partial differential equations .

Live and act

Charles Morrey came from a family of academics - his father was a professor of bacteriology in Columbus and his mother a music school director. He studied at Ohio State University (Bachelor 1927, Master 1928) and received his doctorate in 1931 from Harvard University under George David Birkhoff ( Invariant function of Conservative Surface Transformations ). From 1929 to 1931 he was an instructor at Harvard, 1931/32 National Research Council Fellow at Princeton and 1932/33 at the Rice Institute . In 1933 he became an instructor, 1935 assistant professor, 1938 associate professor and 1945 professor at the University of Berkeley , where he was chairman of the mathematics faculty from 1949 to 1954. In 1973 he retired. During the Second World War, the US Army was at the Ballistics Research Center in Aberdeen Proving Ground .

Morrey worked on the theory of area measures (in 1935 he solved a problem by Karl Menger about the characterization of areas with a finite Lebesgue measure ), elliptic partial differential equations and the calculus of variations, where his work on the variation of multidimensional integrals was used to solve the 19th and 20. Hilbert problems contributed. In doing so, he also developed the function rooms known today as Sobolew rooms . He also dealt with the plateau problem and minimal areas. In 1958 he solved the problem of analytically embedding real-analytic manifolds in Euclidean space. His 1938 work on quasi-linear elliptic partial differential equations was influential. He also dealt with the variation of harmonic integrals (according to Hodge ) and the analyticity of solutions of elliptic partial differential equations.

In mathematical physics he wrote a thesis on the derivation of hydrodynamic differential equations from statistical mechanics.

Morrey had been a member of the National Academy of Sciences since 1962 , and in 1965 he was elected to the American Academy of Arts and Sciences . 1967/68 he was President of the American Mathematical Society (AMS). In 1964 he was Colloquium Lecturer at the AMS. He was a US delegate at the 1966 International Congress of Mathematicians in Moscow. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Differentiability theorems for nonlinear elliptic equations ).

He was married and had three children.

Fonts

  • Multiple integral problems in the calculus of variations and related topics, University of California Press 1943
  • Multiple integrals in the calculus of variations, Springer 1966
  • Second order elliptic systems of differential equations, Princeton, Annals of Mathematical Studies, 1954, p. 101
  • University Calculus
  • with Murray H. Protter: Modern Mathematical Analysis, Addison-Wesley 1964
  • with Murray Protter: A first course in real analysis, 2nd edition, Springer 1991
  • Morrey "Some recent developments in the theory of partial differential equations", Bulletin AMS 1962

Web links

References

  1. American Journal of Mathematics Vol. 57, 58, 1935, 1936
  2. "The problem of Plateau on a Riemannian manifold", Annals of Mathematics, Vol. 49, 1948, p. 807
  3. ^ “The analytical embedding of abstract real analytic manifolds”, Annals of Mathematics Vol. 68, 1958, p. 159
  4. On the solution of quasi-linear elliptic partial differential equations , Transactions AMS Vol. 43, 1938, pp. 126-166
  5. Comm. Pure Applied Mathematics Vol. 8, 1955, p. 279