Fritz John

Fritz John
Born	(1910-06-14)14 June 1910 Berlin, Germany
Died	New York, USA
Nationality	United States
Fields	Mathematics
Institutions	University of Kentucky Ballistic Research Laboratory New York University
Alma mater	University of Göttingen
Doctoral students	Clifford Gardner Sergiu Klainerman
Known for	John-Nirenberg Inequality John's equation John ellipsoid
Notable awards	Birkhoff Prize (1973) Steele Prize (1982)

Fritz John (14 June 1910 – 10 February 1994) was a German-born mathematician specialising in partial differential equations and ill-posed problems. His early work was on the Radon transform and he is remembered for John's equation.

Life and career

John was born in Berlin, Imperial Germany, the son of Hedwig (née Bürgel) and Hermann Jacobson-John. He studied mathematics from 1929 to 1933 in Göttingen where he was influenced by Richard Courant among others. With Hitler's rise to power in 1933 "non-aryans" were being expelled from teaching posts, and John emigrated from Germany and immigrated to England.

John published his first paper in 1934 on Morse theory. He was awarded his doctorate in 1934 with a thesis entitled Determining a function from its integrals over certain manifolds from Göttingen. With Richard Courant's assistance he spent a year at St John's College, Cambridge. During this time he published papers on the Radon transform, a theme to which he would return.

John was appointed an assistant professor at the University of Kentucky in 1935 and he emigrated to the United States becoming naturalised in 1941. He stayed at Kentucky until 1946 apart from 1943 to 1945 during which he did war service for the Ballistic Research Laboratory at the Aberdeen Proving Ground, Maryland. In 1946 he moved to New York University where he remained.

Throughout the 1940s and 1950s he continued to work on the Radon transform in particular its application to linear partial differential equations, convex geometry, and the mathematical theory of water waves. He also wrote on numerical analysis and ill-posed problems. His textbook on partial differential equations was much influential and was re-edited many times.

From the mid-1950s he started working on the theory of equilibrium nonlinear elasticity. He retired in 1981 but continued to work on nonlinear waves.

Honors

He received many awards during his career including the Birkhoff Prize in Applied Mathematics in 1973 and the Steele Prize in 1982. On the 5th of May 1985, jointly with Olga Arsenievna Oleinik, he was awarded the laurea honoris causa in mathematics by the Sapienza University of Rome.

Publications

All John's published works, excluding monographs and textbooks, are collected in references (John 1985) and (John 1985a) with remarks and corrections by himself and commentaries by Sigurdur Helgason, Lars Hörmander, Sergiu Klainerman, Warner T. Koiter, Heinz-Otto Kreiss, Harold W. Kuhn, Peter Lax, Louis Nirenberg and Fritz Ursell.

• . John's famous monograph on the Radon transform and its application to partial differential equations.
• .
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See also

• Bounded mean oscillation
• Fritz John conditions
• John ellipsoid
• John transform

Biographical references

• . The "regest of honoris causa degrees from 1944 to 1985" (English translation of the title) is a detailed and carefully commented regest of all the documents of the official archive of the Sapienza University of Rome pertaining to the honoris causa degrees, awarded or not. It includes all the awarding proposals submitted during the considered period, detailed presentations of the work of the candidate, if available, and precise references to related articles published on Italian newspapers and magazines, if the laurea was awarded.

Further reading

• .

External links

• Fritz John at the Mathematics Genealogy Project