Small divisor problems and Nash-Moser methodsManfred Salmhofer and Matthias Schwarz Seminar, Spring term 2002 Time: Tuesdays, 9:15-11:00 Place: large seminar room of the ITP, vor dem Hospitaltore 2 |
Plan |
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| April 16 | M. Salmhofer | Introduction to Small Denominator Problems |
| April 23 | M. Salmhofer | The KAM Theorem for the Analytic Case |
| April 30 | Walter Pedra | The Nash Implicit Function Theorem I |
| May 7 | Walter Pedra | The Nash Implicit Function Theorem II |
| May 14 | Peter Albers | Tame Frechet Spaces |
| May 28 | Kai Zehmisch | The Nash imbedding theorem |
| June 4 | Walter Craig |
KAM Theory and applications to PDE
Oberseminar Analysis, 15:15, MPI-MIS |
References |
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| C. Eugene Wayne |
An Introduction to KAM Theory.
AMS Lectures in Applied Mathematics, Volume 31, 1996 |
| J.T. Schwartz |
Nonlinear Functional Analysis.
Gordon and Breach Science Publishers, New York |
| Richard S. Hamilton |
The Inverse Function Theorem of Nash and
Moser.
Bull. Am. Math. Soc. 7 (1982) 65 |
| J.-C. Yoccoz |
An Introduction to Small Divisors Problems.
in: M. Waldschmidt et al, eds, From Number Theory to Physics, p. 659, Springer Verlag |
| S. Marmi | An Introduction to Small Divisors Problems. arXiv:math.DS/0009232 |
| L.H. Eliasson |
Absolutely Convergent Series Expansions for Quasi Periodic Motions
Mathematical Physics Electronic Journal 2, Paper 4 (1996) |
| G. Gallavotti |
Twistless KAM tori.
mp_arc/93-172
Comm. Math. Phys. 164 (1994), no. 1, 145--156. |
| G. Gallavotti, G. Gentile | Ergodic Theory Dynam. Systems 15 (1995), no. 5, 857--869 |
| J. Bricmont, K. Gawedzki, A. Kupiainen |
KAM theorem and quantum field theory.
mp_arc/98-517
Comm. Math. Phys. 201 (1999), no. 3, 699--727. |
| G. Popov |
Invariant Tori, Effective Stability, and Quasimodes
with Exponentially Small Error Terms. I and II
Ann. Henri Poincare 1 (2000) 223-248 and 249-279 |
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last updated May 5, 2002 MS |