Michael G. Crandall, PhD, is Professor Emeritus at the University of California, Santa Barbara. He earned his doctoral degree in Mathematics at the University of California, Berkeley, in 1965. In his career he has served as Professor of Mathematics at the University of California, Los Angeles, and at the University of Wisconsin Department of Mathematics and the Mathematics Research Center there. He revisited Madison as the Hille Professor of Mathematics in 1997. At various times he was titled as Visiting Professor at the University of Paris, Six and Nine. Other experience was serving as Director, Autumn College on Semigroup Theory & Applications, ICTP, Trieste, Member-at-Large and then Trustee of the American Mathematical Society. He served on the U.S. National Committee on Mathematics (NCM) 1996-2000 and was Trustee, Institute for Pure and Applied Mathematics, at UCLA. He also served on various editorial boards and was associate editor, managing editor and editor of many mathematical publications. His earliest honor was an Invited Lecture to the 1974 International Congress of Mathematicians. Over time he has delivered named lectures at the AMS , Brown University, U.C. Berkeley, University of Wisconsin, Madison, and others. Further honors received were the AMS Steele Prize, the Docteur Honoris Causa from the Universite Paris-Dauphine and election to the American Academy of Arts and Sciences.

Research Interests

Prof. Crandall's earliest research involved the exploration of the generation of nonlinear semigroups in Hilbert spaces and the theory of nonlinear semigroups in Hilbert spaces. This was followed with the proof of the theorem of the infinitesimal generators of nonlinear semigroups on contractions on convex subsets of Hilbert spaces which are exactly the minimal sections of maximal dissipative operators, and the correspondence is a bijection. This start developed into work on generation in general Banach spaces. Further on, the application to scalar conservation laws, the abstract uniqueness theorem and research to pass to limits in full nonlinear equations together provided the environment which led to uniqueness results for viscosity solutions. Prof. Crandall acknowledges with gratitude all the colleagues who, over the years, stimulated and collaborated in his research.

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Primary Section

Section 32: Applied Mathematical Sciences

Secondary Section

Section 11: Mathematics