David H. Sattinger

Office: Lund Hall 221

Phone: (435) 797-0749

Email david.sattinger@yale.edu

Lecture Notes

Measure Theory and Integration Yale, Fall, 2004

Partial Differential Equations of Applied Mathematics, Yale, Fall, 2003.

Scaling, Mathematical Modelling, and Integrable Systems, Deutsche Mathematische Verein, Band 28, Birkhauser, 1998

Solitons and Nonlinear Dispersive Waves, XXIII Scuola Estiva di Matematica Fisica , Ravello, Italy, 1998

L'interaction des Ondes dans les Systemes Dispersifs, Universite de Reims, France, 2005

The research reported in the articles below was carried out with the support of the Division of Mathematical Sciences of the National Science Foundation, grant numbers DMS 9971249, 9996396.

Tsunamis and Barge Canals, Preprint, April, 2005

Soliton Collisions in the Ion Acoustic Plasma Equations, with Y. Li, Jour. Math. Fluid Mech., 1, 1999

Solitary wave interactions of the Euler-Poisson equations, with M. Haragus and D.P. Nicholls, Jour. of Math. Fluid Mech. 5, (2003), 92-118

Acoustic Scattering and the Extended Korteweg-deVries Equation, with R. Beals and J.Szmigielski. Advances in Mathematics, 140 (1998), 190-206.

Multipeakons and a theorem of Stieltjes, with R. Beals and J. Szmigielski, Inverse Problems, 15 (1999) L1-L4.

Multipeakons and the Classical Moment Problem, with R. Beals and J. Szmigielski, Adv. in Mathematics, 154, 229-257, 2000

Peakons, Strings, and the Finite Toda Lattice, with R. Beals and J. Szmigielski, Comm. Pure & Applied Math. LIV 91-106, 2001.

Inverse Scattering Solution of the Hunter-Saxton Equation, with R. Beals and J. Szmigielski, Applicable Analysis, 78, (2001), 255-269.

Continued Fractions and Integrable Systems, Proceedings of the Sixth Symposium on Orthogonal Polynomials and Applications, Rome, 2001, with R. Beals and J. Szmigielski, Jour. Applied & Comp. Math., 153, (2002), 47-60.

Calogero-Francoise Flows and Periodic Peakons, Proceedings of the NEEDS conference, Newton Institute, Cambridge University, 2001, with R. Beals and J. Szmigielski, Theor. & Math. Phys., 133, (2002), 1631-1646.

Periodic Peakons and Calogero-Francoise Flows, with R. Beals and J. Szmigielski, Journal of the Institute of Mathematics of Jussieu, to appear

Published Papers; Postscript files available on LANL

Inversion of the linearized Korteweg-deVries equation at the multi-soliton solutions, with M. Haragus, Zeit Ang. Math u. Physik (ZAMP), 49 (1998), 436-469.

A Dirac Sea and Thermodynamic Equilibrium for the Quantized Three Wave Interaction, with R. Beals and E. Williams. Jour. Math. Phys., 39, (1998), 1-29.

A Riemann-Hilbert Problem for an Energy Dependent Schrodinger Operator, with J. Szmigielski, Inverse Problems, 12, (1996), 1003-1025.

Energy dependent scattering theory, with J. Szmigielski. Differential and Integral Equations, 8, (1995), 945-959.

Integrable systems and isomonodromy deformations, with R. Beals, Physica D, 65, (1993), 17-47.

Action-angle variables for the Gel'fand-Dikki flows, with R. Beals. Zeit. Angew. Math. Physik, 43, (1992), 219-242.

Complete integrability of completely integrable systems, with R. Beals. Comm. Math. Phys., 138, (1991), 404-436.