Michael G. Crandall

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

Life and work

Crandall first began studying as a physics engineer ( bachelor's degree in 1962 ) at the University of Berkeley, then switched to mathematics with a master's degree in 1964 and his doctorate in 1965 at Heinz Otto Cordes, Berkeley, where he in a problem of Carl Ludwig Siegel of celestial mechanics solved ( "Two families of plane solutions of the four body problem" ). In 1965 he was Instructor in 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 Center, University of Wisconsin -Madison from 1984 to 1990 as the Hille - Professor of Mathematics. Since 1988 he is professor at the University of California, Santa Barbara. Crandall had been a guest professor at the University of Paris, from which he received an honorary doctorate in 1999.

Crandall is mainly concerned with partial differential equations, eg with bifurcation theory, Evolution equations, semigroups illustrations in Banach spaces and the theory of Hamilton -Jacobi equation. With Pierre -Louis Lions, he led a viscosity solutions of partial differential equations. With Paul Rabinowitz he proved in the 1970s, a sentence about Hopf bifurcations in infinite dimensions.

Since 2000 he is member of the American Academy of Arts and Sciences. In 1999 he received the Leroy P. Steele Prize. In 1974 he was Invited Lecturer at the International Congress of Mathematicians in Vancouver ( " Semi Groups of nonlinear equations and evolution equations" ). He is a Fellow of the American Mathematical Society.

His PhD is one of Lawrence C. Evans.