Ennio de Giorgi

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Ennio De Giorgi
Ennio de Giorgi.jpg
Born (1928-02-08)8 February 1928
Lecce, Italy
Died Script error: The function "death_date_and_age" does not exist.
Pisa, Italy
Nationality Italian
Fields Calculus of variations, Partial differential equations
Institutions University of Pisa
Alma mater Sapienza University of Rome
Doctoral advisor Mauro Picone
Known for theory of Caccioppoli sets, solution of 19th Hilbert problem, existence and regularity theorem for minimal surfaces
Notable awards Caccioppoli Prize (1960)
Wolf Prize (1990)

Ennio De Giorgi (8 February 1928 – 25 October 1996) was an Italian mathematician, member of the House of Giorgi, who worked on partial differential equations and the foundations of mathematics.

Mathematical work

He solved Bernstein's problem about minimal surfaces.

He solved the 19th Hilbert problem on the regularity of solutions of elliptic partial differential equations.

Quotes

  • "If you can't prove your theorem, keep shifting parts of the conclusion to the assumptions, until you can" [1]

Selected publications

  • Lua error in package.lua at line 80: module 'strict' not found.. "Definition and analytical expression of the perimeter of a set" is the first note published by De Giorgi on his approach to Caccioppoli sets.
  • Lua error in package.lua at line 80: module 'strict' not found.. "On a general theory of (r - 1)-dimensional measure in r-dimensional space" is the first complete exposition by De Giorgi of the theory of Caccioppoli sets according to his.
  • Lua error in package.lua at line 80: module 'strict' not found.. "Oriented boundaries of minimal measure and related questions" (English translation of the title) is an advanced text, oriented to the theory of minimal surfaces in the multi-dimensional setting, written by some of the leading contributors to the theory.
  • Lua error in package.lua at line 80: module 'strict' not found. (with English summary). "A new kind of functional in the calculus of variations" (English translation of the title) is the first paper about SBV functions and related variational problems.
  • Lua error in package.lua at line 80: module 'strict' not found.. "Free-discontinuity variational problems" (English translation of the title) is a survey paper on free-discontinuity variational problems including several details on the theory of SBV functions, their applications and a rich bibliography (in Italian).
  • Lua error in package.lua at line 80: module 'strict' not found. A selection from De Giorgi's scientific works, offered in an amended typographical form, in the original Italian language and English translation, including a biography, a bibliography and commentaries from Luis Caffarelli and other noted mathematicians.

See also

Notes

  1. Piero D'Ancona (mathoverflow.net/users/7294), Should one attack hard problems?, http://mathoverflow.net/questions/124210 (version: 2013-03-11)

References

Biographical and general references

  • Lua error in package.lua at line 80: module 'strict' not found.. There is also a preprint version of this paper in Adobe pdf format, available at the web page of the Research Group in Calculus of Variations and Geometric Measure Theory, Scuola Normale Superiore, Pisa.
  • Lua error in package.lua at line 80: module 'strict' not found., available home page at the Research Group in Calculus of Variations and Geometric Measure Theory, Scuola Normale Superiore, Pisa. A brief biography reviewing his major scientific contributions.
  • Lua error in package.lua at line 80: module 'strict' not found. e-ISBN 88-8305-020-7. A collection of almost all commemorative papers, transcriptions of commemorative addresses on Ennio De Giorgi and personal reminiscences of pupils and friends, collected jointly with some philosophical papers of De Giorgi himself: the translation of the title reads as:"Ennio De Giorgi: they have said of him...".
  • Lua error in package.lua at line 80: module 'strict' not found..
  • Lua error in package.lua at line 80: module 'strict' not found.. Contains two chapters on De Giorgi.
  • Lua error in package.lua at line 80: module 'strict' not found.. "How Ennio De Giorgi came to the Scuola Normale Superiore" is a brief commemorative historical describing the events which led Ennio De Giorgi to held a chair at the Scuola Normale Superiore.
  • Lua error in package.lua at line 80: module 'strict' not found.

Scientific references

  • Lua error in package.lua at line 80: module 'strict' not found.. An important monograph detailing the results of Ennio De Giorgi and his school on the Minimal surface problem approached by the theory of Caccioppoli sets.

External links