Claudio Baiocchi

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Claudio Baiocchi (* 1940 ) is an Italian mathematician. He was a professor in Pavia and has been professor of higher analysis in Rome at La Sapienza University since the 1990s .

He dealt with partial differential equations and among other things with variation inequalities and interpolation between Banach spaces. In 1971 he applied this to a problem of free edges in the spread of liquids in porous media, with applications in foundation engineering (using the Baiocchi transformation). He also made contributions to the question of when “weak” and “strong” extensions of differential operators coincide.

Later he dealt with the Collatz problem , cellular automata and Turing machines .

In 1970 he received the Premio Caccioppoli . He is a member of the Accademia dei XL and the Accademia dei Lincei .

Fonts

  • with Antonio Capelo: Variational and quasivariational inequalities. Applications to free boundary problems. Chichester / New York, Wiley 1984.
  • Editor with Jacques-Louis Lions: Boundary value problems for partial differential equations and applications. Dedicated to Enrico Magenes , Elsevier-Masson, 1993
  • with others: Free boundary problems in the theory of fluid flow through porous media: a numerical approach, Pavia: Laboratorio di analisi numerica del Consiglio nazionale delle ricerche 1973
  • with others: Free boundary problems in the theory of fluid flow through porous media: existence and uniqueness theorems, Pavia: Laboratorio di analisi numerica del Consiglio nazionale delle ricerche 1973
  • with others: Fluid flow through porous media: a new theoretical and numerical approach, Pavia: Laboratorio analisi numerica del Consiglio nazionale delle ricerche, 1974
  • with A. Capelo: Disequazioni variazionali e quasivariazionali: applicazioni a problemi di frontiera libera, 2 volumes, Bologna: Pitagora, 1978.
  • with A. Capelo: Problemi quasivariazionali, Bologna: Pitagora, 1978
  • with A. Capelo: Problemi variazionali, Bologna: Pitagora, 1978.

Web links

Individual evidence

  1. Baiocchi, Sur unproblemème à frontière libre traduisant le filtrage de liquides à travers des milieux poreux, CR Acad. Sci. Paris, Volume 273, 1971, pp. 1215-1217
  2. Baiocchi, Sur un problema di frontiera libera connesso a questioni di idraulica, Ann. Mat. Pura Appl., Vol. 92 (4), 1972, pp. 107-127
  3. Baiocchi, V. Comincioli, E. Magenes, GA Pozzi, Free boundary problems in the theory of the fluid through porous media: existence and uniqueness theorems, Ann. Mat. Pura Appl., Vol. 96 (4), 1973, pp. 1-82
  4. Baiocchi, Maurice Morgenstern, Cellular automata about the 3x + 1 problem, Proc. LCCS 2001, University of Paris
  5. Three small universal Turing machines, in: Machines, computations and universality, LN computer science 2055, Springer 2011, 1-10
  6. Membership list ( Memento of the original from October 1st, 2015 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.  @1@ 2Template: Webachiv / IABot / www.accademiaxl.it