Louis Nirenberg (28 February 1925 – 26 January 2020)

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SUMMARY

Louis Nirenberg, a prominent mathematician known for his significant contributions to analysis and partial differential equations (PDE), passed away on January 26, 2020, at the age of 94. His work includes the development of the moving planes argument with Gidas and Ni, which established symmetry of ground states, and the interpolation inequality with Gagliardo, enhancing the Sobolev inequality. Additionally, Nirenberg co-developed the John-Nirenberg inequality with Fritz John, further solidifying his impact in the field. His achievements are commemorated on various platforms, including a tribute by Prof. Terrence Tao and a biography on Wikipedia.

PREREQUISITES
  • Understanding of partial differential equations (PDE)
  • Familiarity with Sobolev inequalities
  • Knowledge of interpolation inequalities
  • Basic concepts of mathematical analysis
NEXT STEPS
  • Research the moving planes argument in the context of symmetry in PDE
  • Study the Gagliardo interpolation inequality and its applications
  • Explore the John-Nirenberg inequality and its implications in analysis
  • Read Prof. Terrence Tao's blog for insights on Nirenberg's contributions
USEFUL FOR

Mathematicians, students of advanced analysis, and researchers in the field of partial differential equations will benefit from this discussion, particularly those interested in the historical context and impact of Nirenberg's work.

sysprog
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I was sad to learn a few minutes ago of the ending a few days ago of Louis Nirenberg's long life of great achievement.

From Prof. Terrence Tao's site:
Professor Terrence Tao said:
I just heard the news that https://www.abelprize.no/nyheter/vis.html?tid=75971 died a few days ago, aged 94. Nirenberg made a vast number of contributions to analysis and PDE (and his work has come up repeatedly on my own blog); I wrote about his beautiful moving planes argument with Gidas and Ni to establish symmetry of ground states in this post on the occasion of him receiving the Chern medal, and on how his extremely useful interpolation inequality with Gagliardo (generalising a previous inequality of Ladyzhenskaya) can be viewed as an amplification of the usual Sobolev inequality in this post. Another fundamentally useful inequality of Nirenberg is the John-Nirenberg inequality established with Fritz John . . .
Prof Tao continues his reminiscences about the great man here . . .
$$\mathtt{R.I.P.}$$
 
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