Michael G. Crandall | |
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| Born | November 29, 1940 (age 82) Baton Rouge, Louisiana, U.S. |
| Occupation | Mathematics Professor (Emeritus) |
| Alma mater | UC Berkeley |
| Awards | Leroy P. Steele Prize (1999) |
| Scientific career | |
| Institutions | University of California, Santa Barbara |
| Doctoral students | Lawrence Evans P. E. Souganidis John William Helton |
Michael Grain Crandall (born November 29, 1940, in Baton Rouge, Louisiana) is an American mathematician, specializing in differential equations.
In 1962 Crandall earned a baccalaureate in engineering physics from University of California, Berkeley, changed to mathematics, earning a master's in 1964 and a PhD in 1965 under Heinz Cordes at Berkeley, with a thesis that solved a problem in celestial mechanics posed by Carl Ludwig Siegel; the thesis title is Two families of plane solutions of the four body problem. In 1965 he was an instructor at Berkeley, in 1966 an assistant professor at Stanford University and from 1969 at the University of California, Los Angeles (UCLA), where he was a professor from 1973 to 1976. From 1974 to 1984 he was a professor at the Mathematics Research Center at the University of Wisconsin–Madison, from 1984 to 1990 as Hille-Professor of Mathematics. From 1988 until his retirement he was a professor at the University of California, Santa Barbara. Crandall was several times a visiting professor at the University of Paris, where he received an honorary doctorate in 1999. His legacy of contributions contains all but not limited to: Banach solutions in Euclidean spaces, Fourier transforms of planar variables, PDE concepts and iterations for sequence analysis, semigroup transform solutions, differential harmonic study of divergent hyperbole, physical transformations of finite Jacobian entities, unique harmonic populations in convergent contexts, application of abstract existence principles on non-linear contexts, normalized vector sequencing in multi-dimensional parallax geometries, and the mathematical equivalence study of topographical dissimilar nodes using traditional non-linear surfacing theories to produce distinct solutions in the realm of differential multi-variable applications.
Crandall works primarily on partial differential equations, e.g., with bifurcation theory, evolution equations, generation of semigroups of transformations on Banach spaces [1] and the theory of Hamilton–Jacobi equations. With Pierre-Louis Lions he did research on the viscosity solutions of partial differential equations. [2]
In 2000 he was elected a member of the American Academy of Arts and Sciences. In 1999 he received the Leroy P. Steele Prize. In 1974 he was an Invited Lecturer (on "Semigroups of nonlinear equations and evolution equations") at the International Congress of Mathematicians in Vancouver. In 2012 he became a fellow of the American Mathematical Society. [3]
Among his doctoral students are Lawrence C. Evans and Panagiotis E. Souganidis. [4]
Lars Valter Hörmander was a Swedish mathematician who has been called "the foremost contributor to the modern theory of linear partial differential equations". Hörmander was awarded the Fields Medal in 1962 and the Wolf Prize in 1988. In 2006 he was awarded the Steele Prize for Mathematical Exposition for his four-volume textbook Analysis of Linear Partial Differential Operators, which is considered a foundational work on the subject.
Jean Louis, baron Bourgain was a Belgian mathematician. He was awarded the Fields Medal in 1994 in recognition of his work on several core topics of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, ergodic theory and nonlinear partial differential equations from mathematical physics.
Pierre-Louis Lions is a French mathematician. He is known for a number of contributions to the fields of partial differential equations and the calculus of variations. He was a recipient of the 1994 Fields Medal and the 1991 Prize of the Philip Morris tobacco and cigarette company.
Hans Lewy was a Jewish American mathematician, known for his work on partial differential equations and on the theory of functions of several complex variables.
Louis Nirenberg was a Canadian-American mathematician, considered one of the most outstanding mathematicians of the 20th century.
Lawrence Craig Evans is an American mathematician and Professor of Mathematics at the University of California, Berkeley.
Themistocles M. Rassias is a Greek mathematician, and a professor at the National Technical University of Athens, Greece. He has published more than 300 papers, 10 research books and 45 edited volumes in research Mathematics as well as 4 textbooks in Mathematics for university students. His research work has received more than 19,000 citations according to Google Scholar and more than 5,800 citations according to MathSciNet. His h-index is 49. He serves as a member of the Editorial Board of several international mathematical journals.
Nicolai Vladimirovich Krylov is a Russian mathematician specializing in partial differential equations, particularly stochastic partial differential equations and diffusion processes. Krylov studied at Lomonosov University, where he in 1966 under E. B. Dynkin attained a doctoral candidate title and in 1973 a Russian doctoral degree. He taught from 1966 to 1990 at the Lomonosov University and is since 1990 a professor at the University of Minnesota. At the beginning of his career he, in collaboration with Dynkin, worked on nonlinear stochastic control theory, making advances in the study of convex, nonlinear partial equations of 2nd order, which were examined with stochastic methods. This led to the Evans-Krylov theory, for which he received with Lawrence C. Evans in 2004 the Leroy P. Steele Prize of the American Mathematical Society. They proved the second order differentiability of the solutions of convex, completely nonlinear, second order elliptical partial differential equations and thus the existence of "classical solutions". He was in 1978 at Helsinki and in 1986 at Berkeley an invited speaker for the ICM. He received the Humboldt Research Award in 2001. In 1993 he was elected a member of the American Academy of Arts and Sciences (1993). He should not be confused with the mathematician Nikolay M. Krylov.
Clifford Spear Gardner was an American mathematician specializing in applied mathematics.
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Cora Susana Sadosky de Goldstein was a mathematician and Professor of Mathematics at Howard University.
Paolo Marcellini is an Italian mathematician who deals with mathematical analysis. He was a full professor at the University of Florence, actually Professor Emeritus, who works on partial differential equations, calculus of variations and related mathematics. He was the Director of the Italian National Group GNAMPA of the Istituto Nazionale di Alta Matematica (INdAM) and Dean of the Faculty of Mathematical, Physical and Natural Sciences of the University of Florence.
Viorel P. Barbu is a Romanian mathematician, specializing in partial differential equations, control theory, and stochastic differential equations.
Hitoshi Ishii ,a Japanese mathematician,who is specialized in partial differential equations.
Zofia Szmydt was a Polish mathematician working in the areas of differential equations, potential theory and the theory of distributions. She was a winner of the Stefan Banach Prize for mathematics in 1956.
Alessandra Lunardi is an Italian mathematician specializing in mathematical analysis. She is a professor in the department of mathematics and computer science at the University of Parma. She is particularly interested in Kolmogorov equations and free boundary problems.
Robert Ronald Jensen is an American mathematician, specializing in nonlinear partial differential equations with applications to physics, engineering, game theory, and finance.
Panagiotis E. Souganidis is an American mathematician, specializing in partial differential equations.
Leonard Gross is an American mathematician and Professor Emeritus of Mathematics at Cornell University.
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