26 Facts About Louis Nirenberg

Louis Nirenberg was a Canadian-American mathematician, considered one of the most outstanding mathematicians of the 20th century.

Louis Nirenberg is regarded as a foundational figure in the field of geometric analysis, with many of his works being closely related to the study of complex analysis and differential geometry.

Louis Nirenberg was born in Hamilton, Ontario to Ukrainian Jewish immigrants.

Louis Nirenberg attended Baron Byng High School and McGill University, completing his BS in both mathematics and physics in 1945.

Louis Nirenberg spoke to Courant's father, the eminent mathematician Richard Courant, for advice on where Nirenberg should apply to study theoretical physics.

Louis Nirenberg was the advisor of 45 PhD students, and published over 150 papers with a number of coauthors, including notable collaborations with Henri Berestycki, Haim Brezis, Luis Caffarelli, and Yanyan Li, among many others.

Louis Nirenberg continued to carry out mathematical research until the age of 87.

On January 26,2020, Louis Nirenberg died at the age of 94.

Louis Nirenberg's work was widely recognized, including the following awards and honors:.

Louis Nirenberg is especially known for his collaboration with Shmuel Agmon and Avron Douglis in which they extended the Schauder theory, as previously understood for second-order elliptic partial differential equations, to the general setting of elliptic systems.

Louis Nirenberg's work was later put into the setting of a boundary value problem by Eberhard Hopf.

The works of Morrey and Louis Nirenberg made extensive use of two-dimensionality, and the understanding of elliptic equations with higher-dimensional domains was an outstanding open problem.

Calabi and Louis Nirenberg had successfully demonstrated uniform control of the first two derivatives; the key for the method of continuity is the more powerful uniform Holder continuity of the second derivatives.

In collaboration with Shmuel Agmon and Douglis, Louis Nirenberg proved boundary regularity for elliptic equations of arbitrary order.

In one of his earliest works, Louis Nirenberg adapted Hopf's proof to second-order parabolic partial differential equations, thereby establishing the strong maximum principle in that context.

Louis Nirenberg's work is regarded as one of the foundations of the field of parabolic partial differential equations, and is ubiquitous across the standard textbooks.

Louis Nirenberg realized that Serrin's work could be reformulated so as to prove that solutions of second-order elliptic partial differential equations inherit symmetries of their domain and of the equation itself.

Caffarelli, Kohn, and Louis Nirenberg's norms were later investigated more fully in notable work by Florin Catrina and Zhi-Qiang Wang.

Agmon and Louis Nirenberg made an extensive study of ordinary differential equations in Banach spaces, relating asymptotic representations and the behavior at infinity of solutions to.

Brezis and Louis Nirenberg gave a study of the perturbation theory of nonlinear perturbations of noninvertible transformations between Hilbert spaces; applications include existence results for periodic solutions of some semilinear wave equations.

Louis Nirenberg was one of many mathematicians to put Nash's ideas into systematic and abstract frameworks, referred to as Nash-Moser theorems.

Louis Nirenberg's formulation is particularly simple, isolating the basic analytic ideas underlying the analysis of most Nash-Moser iteration schemes.

Louis Nirenberg's work was later simplified by Takaaki Nishida and used in an analysis of the Boltzmann equation.

The Newlander-Louis Nirenberg theorem is considered as a foundational result in complex geometry, although the result itself is far better known than the proof, which is not usually covered in introductory texts, as it relies on advanced methods in partial differential equations.

Loewner and Louis Nirenberg established existence of such solutions on certain domains.

Joseph Kohn and Louis Nirenberg introduced the notion of pseudo-differential operators.