| 词条 | Louis Nirenberg |
| 释义 |
|name = Louis Nirenberg |image = Louis Nirenberg.jpeg |image_size = |caption = Louis Nirenberg in 1975 |birth_date = {{birth date and age|1925|02|28|df==y}} |birth_place = Hamilton, Ontario, Canada |death_date = |death_place = |residence = United States |citizenship = Canadian and American |nationality = |ethnicity = |fields = Mathematics |workplaces = New York University |alma_mater = McGill University (BS, 1945) New York University (PhD, 1950) |doctoral_advisor = James Stoker |academic_advisors = |doctoral_students = {{plainlist|1=
}} |notable_students = |known_for = Partial differential equations Gagliardo–Nirenberg interpolation inequality Gagliardo–Nirenberg–Sobolev inequality Bounded mean oscillation (John–Nirenberg space) |author_abbrev_bot = |author_abbrev_zoo = |influences = |influenced = |awards = Bôcher Memorial Prize (1959) Crafoord Prize (1982) Steele Prize (1994, 2014) National Medal of Science (1995) Chern Medal (2010) Abel Prize in Mathematics (2015) |religion = |signature = |footnotes = Courant Institute of Mathematical Sciences }}Louis Nirenberg (born 28 February 1925) is a Canadian-American mathematician, considered one of the most outstanding mathematicians of the 20th century.[1] He has made fundamental contributions to linear and nonlinear partial differential equations (PDEs) and their application to complex analysis and geometry. His contributions include the Gagliardo–Nirenberg interpolation inequality, which is important in the solution of the elliptic partial differential equations that arise in many areas of mathematics,[2] and the formalization of the bounded mean oscillation known as John–Nirenberg space, which is used to study the behavior of both elastic materials and games of chance known as martingales.[3][4] Nirenberg's work on PDEs was described by the American Mathematical Society in 2002 as "about the best that's been done" towards solving the Navier–Stokes existence and smoothness problem of fluid mechanics and turbulence, which is a Millennium Prize Problem and one of the largest unsolved problems in physics.[1] BiographyNirenberg was born in Hamilton, Ontario, and attended Baron Byng High School. He studied as an undergraduate at McGill University, completing there his B.S. in both mathematics and physics in 1945. He obtained his doctorate from New York University in 1949 under the direction of James Stoker. He subsequently became a professor at the Courant Institute of Mathematical Sciences at New York University. He was also conferred the degree of Doctor of Science, honoris causa, at the University of British Columbia in 2010. He has received many honours and awards, including the Bôcher Memorial Prize (1959), the Jeffery–Williams Prize (1987), the Steele Prize (1994 and 2014), the National Medal of Science (1995), and was the inaugural recipient of both the Crafoord Prize (1982, shared with Vladimir Arnold) and the Chern Medal (2010).[4][5][6] In 2015 he was awarded the Abel Prize along with John Nash. He is a fellow of the American Mathematical Society.[7]Selected works
See also
References1. ^1 {{cite journal|url=http://www.mat.ucm.es/~ln06/nirenberg/interview.pdf|journal=Notices of the AMS|date=March 2002|author=Allyn Jackson|accessdate=2015-03-26|volume=49|number=4|title=Interview with Louis Nirenberg|pages=441–449|deadurl=yes|archiveurl=https://web.archive.org/web/20160303212239/http://www.mat.ucm.es/~ln06/nirenberg/interview.pdf|archivedate=3 March 2016|df=dmy-all}} 2. ^{{cite journal| last = Nirenberg| first = L.| authorlink = Louis Nirenberg| title = On elliptic partial differential equations| journal = Ann. Scuola Norm. Sup. Pisa (3)| volume = 13| year = 1959| pages = 115–162}} 3. ^{{citation| first=F.| last=John| author-link=Fritz John| first2= L.| last2= Nirenberg| author2-link=Louis Nirenberg| title= On functions of bounded mean oscillation| journal=Communications on Pure and Applied Mathematics| volume= 14| year=1961| pages= 415–426| mr = 131498| zbl= 0102.04302| doi=10.1002/cpa.3160140317| issue=3}} 4. ^1 {{cite web|url=http://www.abelprize.no/nyheter/vis.html?tid=63589|title=John F. Nash Jr. and Louis Nirenberg share the Abel Prize|website=The Abel Prize|date=2015-03-25|accessdate=2015-03-26}} 5. ^{{cite web|url=http://www-history.mcs.st-and.ac.uk/Biographies/Nirenberg.html|title=Louis Nirenberg|website=The MacTutor History of Mathematics archive|author=John J O'Connor, Edmund F Robertson|publisher=University of St Andrews|accessdate=2015-03-26|date=February 2010}} 6. ^{{cite web|title=Fields Medals, Other Top Math Prizes, Awarded |url=http://news.sciencemag.org/sciencenow/2010/08/fields-medals-other-top-math-pri.html |first=Barry |last=Cipra |authorlink=Barry Arthur Cipra |website=Science/AAAS |date=2010-08-19 |accessdate=2015-03-26 |deadurl=yes |archiveurl=https://web.archive.org/web/20100822014407/http://news.sciencemag.org/sciencenow/2010/08/fields-medals-other-top-math-pri.html |archivedate=22 August 2010 |df= }} 7. ^List of Fellows of the American Mathematical Society, retrieved 2013-02-24. External links
20 : 1925 births|20th-century American mathematicians|21st-century American mathematicians|Abel Prize laureates|Anglophone Quebec people|Canadian emigrants to the United States|Canadian mathematicians|Fellows of the American Mathematical Society|Canadian Jews|Guggenheim Fellows|ISI highly cited researchers|Living people|Members of the French Academy of Sciences|Members of the United States National Academy of Sciences|National Medal of Science laureates|Courant Institute of Mathematical Sciences faculty|PDE theorists|People from Hamilton, Ontario|McGill University alumni|Courant Institute of Mathematical Sciences alumni |
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