Michael Crandall

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Michael Crandall

Michael Grain Crandall (born November 29, 1940 in Baton Rouge , Louisiana ) is an American mathematician who deals with differential equations .

Life

Crandall initially began studying as a physics engineer ( Bachelor Accounts 1962) at the University of Berkeley , moved then to mathematics with a Master Accounts in 1964 and his doctorate in 1965 at Heinz Otto Cordes in Berkeley, where he is a problem of Carl Ludwig Siegel in the celestial mechanics solved ( Two families of periodic solutions of the plane four-body problem ). In 1965 he was an instructor at Berkeley, 1966 assistant professor at Stanford University and from 1969 at the University of California, Los Angeles (UCLA), where he was professor from 1973 to 1976. From 1974 he was also a professor at the Mathematics Research CenterUniversity of Wisconsin – Madison , from 1984 to 1990 as Hille Professor of Mathematics. Since 1988 he has been a professor at the University of California, Santa Barbara . Crandall has been visiting professor at the University of Paris on several occasions , from which he received an honorary doctorate in 1999.

Crandall is mainly concerned with partial differential equations, e.g. B. with bifurcation theory , evolution equations, semigroup mapping in Banach spaces and the theory of the Hamilton-Jacobi equation. With Pierre-Louis Lions he introduced viscosity solutions of partial differential equations. With Paul Rabinowitz , he proved a theorem about Hopf bifurcations in an infinite number of dimensions in the 1970s .

He has been a member of the American Academy of Arts and Sciences since 2000 . In 1999 he received the Leroy P. Steele Prize . In 1974 he was an Invited Lecturer at the International Congress of Mathematicians in Vancouver ("Semigroups of nonlinear equations and evolution equations"). He is a fellow of the American Mathematical Society .

Lawrence C. Evans is one of his PhD students .

Web links

Individual evidence

  1. ↑ Michael Crandall in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Crandall, Thomas M. Liggett : Generation of semi-groups of nonlinear transformations on general Banach spaces. In: American Journal of Mathematics . Volume 93, No. 2, 1971, pp. 265-298, doi : 10.2307 / 2373376 . The work is cited in the award of the Steele Prize.
  3. ^ Crandall, Pierre-Louis Lions : Viscosity of solutions of Hamilton-Jacobi equations. In: Transactions of the American Mathematical Society . Volume 277, No. 1, 1983, pp. 1-42, doi : 10.2307 / 1999343 . For this work, among other things, he received the Steele Prize.
  4. ^ Crandall, Paul H. Rabinowitz : The Hopf bifurcation theorem in infinite dimensions. In: Archive for Rational Mechanics and Analysis. Volume 67, No. 1, 1977, pp. 53-72, doi : 10.1007 / BF00280827 .
personal data
SURNAME Crandall, Michael
ALTERNATIVE NAMES Crandall, Michael Grain (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH November 29, 1940
PLACE OF BIRTH Baton Rouge , Louisiana