Related Research Articles
In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential operator on a compact manifold, the analytical index is equal to the topological index. It includes many other theorems, such as the Chern–Gauss–Bonnet theorem and Riemann–Roch theorem, as special cases, and has applications to theoretical physics.
Alberto Pedro Calderón was an Argentine mathematician. His name is associated with the University of Buenos Aires, but first and foremost with the University of Chicago, where Calderón and his mentor, the analyst Antoni Zygmund, developed the theory of singular integral operators. This created the "Chicago School of (hard) Analysis".
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.
Ennio De Giorgi was an Italian mathematician who worked on partial differential equations and the foundations of mathematics.
Hilbert's nineteenth problem is one of the 23 Hilbert problems, set out in a list compiled by David Hilbert in 1900. It asks whether the solutions of regular problems in the calculus of variations are always analytic. Informally, and perhaps less directly, since Hilbert's concept of a "regular variational problem" identifies this precisely as a variational problem whose Euler–Lagrange equation is an elliptic partial differential equation with analytic coefficients, Hilbert's nineteenth problem, despite its seemingly technical statement, simply asks whether, in this class of partial differential equations, any solution inherits the relatively simple and well understood property of being an analytic function from the equation it satisfies. Hilbert's nineteenth problem was solved independently in the late 1950s by Ennio De Giorgi and John Forbes Nash, Jr.
Vladimir Gilelevich Maz'ya is a Russian-born Swedish mathematician, hailed as "one of the most distinguished analysts of our time" and as "an outstanding mathematician of worldwide reputation", who strongly influenced the development of mathematical analysis and the theory of partial differential equations.
Gaetano Fichera was an Italian mathematician, working in mathematical analysis, linear elasticity, partial differential equations and several complex variables. He was born in Acireale, and died in Rome.
Solomon Grigor'evich Mikhlin was a Soviet mathematician of who worked in the fields of linear elasticity, singular integrals and numerical analysis: he is best known for the introduction of the symbol of a singular integral operator, which eventually led to the foundation and development of the theory of pseudodifferential operators.
Tatyana Olegovna Shaposhnikova is a Russian-born Swedish mathematician. She is best known for her work in the theory of multipliers in function spaces, partial differential operators and history of mathematics, some of which was partly done jointly with Vladimir Maz'ya. She is also a translator of both scientific and literary texts.
Richard William Beals is an American mathematician who works on partial differential equations and functional analysis. He is known as the author or co-author of several mathematical textbooks.
Michael Eugene Taylor is an American mathematician working in partial differential equations.
Luigi Amerio, was an Italian electrical engineer and mathematician. He is known for his work on almost periodic functions, on Laplace transforms in one and several dimensions, and on the theory of elliptic partial differential equations.
Gregory Eskin is a Russian-Israeli-American mathematician, specializing in partial differential equations.
YuriiVladimirovich Egorov was a Russian-Soviet mathematician who specialized in differential equations.
Xavier Ros Oton is a Spanish mathematician who works on partial differential equations (PDEs). He is an ICREA Research Professor and a Full Professor at the University of Barcelona.
Angela Kunoth is a German mathematician specializing in the numerical analysis of partial differential equations. She is a professor of mathematics at the University of Cologne, and the editor-in-chief of SIAM Journal on Numerical Analysis.
Serena Dipierro is an Italian mathematician whose research involves partial differential equations, the regularity of their solution, their phase transitions, nonlocal operators, and free boundary problems, with applications including population dynamics, quantum mechanics, crystallography, and mathematical finance. She is a professor in the School of Physics, Mathematics and Computing at the University of Western Australia, where she heads the department of mathematics and statistics.
Klaus Schmitt is an American mathematician doing research in nonlinear differential equations, and nonlinear analysis.
Valentina Ivanivna Gorbachuk is a Soviet and Ukrainian mathematician, specializing in operator theory and partial differential equations.
Heinz Otto Cordes was a German-American mathematician, specializing in partial differential equations (PDEs). He is known for the Aronszajn–Cordes uniqueness theorem for solutions of elliptic PDEs.
References
- 1 2 3 4 5 "Gerd Grubb (1939 – )", Dansk kvindebiografisk leksikon (in Danish), retrieved 2020-04-19
- 1 2 Berg, Christian, "Gerd Grubb", Den Store Danske Encyklopædi (in Danish), Gyldendal, retrieved 2020-04-19
- ↑ Gerd Grubb, Emeritus, University of Copenhagen Department of Mathematical Sciences, retrieved 2020-04-19
- 1 2 The Royal Academy’s gold medal to Gerd Grubb, University of Copenhagen, 22 October 2020, retrieved 2021-01-02
- 1 2 3 Curriculum vitae (PDF), February 2010, retrieved 2020-04-19
- ↑ Gerd Grubb at the Mathematics Genealogy Project
- ↑ Reviews of Functional calculus of pseudodifferential boundary problems: Luigi Rodino (1988), MR 0885088; Luigi Rodino (review of 2nd ed.), Zbl 0844.35002
- ↑ Reviews of Distributions and operators: Fabio Nicola (2010), MR 2453959; David Jornet, Zbl 1171.47001
- ↑ "Members as of 10 December 2017", Annual Report for 2017 (PDF) (in Danish), Danish Academy of Natural Sciences, 2018, pp. 20–36
- ↑ Hedersdoktor med känsla för precision (in Swedish), Lund University, 18 December 2015, retrieved 2020-07-03
