The scope of the meeting is to bring together specialists and young research workers to discuss various problems of research interest, theoretical, numerical and applicative, in the field of partial differential equations with particular attention to the methods used in linear and nonlinear hyperbolic problems and related questions. Some of the topics proposed to be discussed are:Methods of linear and nonlinear microlocal analysis; Applications to well posedness in Gevrey classes; Carleman estimates and unique continuation; Uniqueness in Cauchy problem; Local solvability; Weakly hyperbolic equations; Controllability of pde's; Symmetrisability and generalized Levi conditions for hyperbolic systems; Blow up of solutions to nonlinear equations and related arguments.
These lecture courses and seminars are addressed not only to the specialists but also to graduate students and young researchers.
| N.Lerner | Vector fields with little regular coefficients |
| T. Nishitani | Hyperbolic equations with double characteristics |
| G. Velo | Basic Ideas in linear and nonlinear Scattering Theory |
| S. Alinhac | Singular solutions of quasilinear hyperbolic systems |
| P. D'Ancona |
Strichartz type estimates for nonlinear
waves
|
| E. Zuazua |
Topics on the propagation and control
of waves
|
| A. Benaissa (Djillali Liabès) | Global existence and asymptotic behavior of solutions
to mildly degenerate
Kirchhoff equations with non linear dissipative terms |
| F. Catalano (L'Aquila) | Existence Global Existence for the Cauchy
Problem associated to
Kirchhoff equation |
| M. Carini (Messina) | Applications of Lie Groups to PDE of Mathematical Physics |
| M. Di Flaviano (L'Aquila) | Nash-Moser Theorem and Mixed Problems |
| S. Di Pomponio (L'Aquila) | Lifespan of Subcritical p-q Systems |
| M. Dreher (Tsukuba) | Edge Sobolev Spaces and Weakly Hyperbolic Equations |
| A. Galstian (Erevan) | L_p - L_q decay estimates for a Klein-Gordon type model equation |
| F. Hirosawa (Tsukuba) | Precise Energy Decay estimate for the Dissipative
Hyperbolic Equation |
| H. Honda (Tsukuba) | Analytic Regularity of Solutions to the Cauchy Problem
for Degenerate Parabolic Equations |
| H. Ishida (Tsukuba) | On a Precise Levi Condition in Gevrey Classes for some
Infinitely Degenerate Hyperbolic Equations and its Necessity |
| T. Kinoshita (Tsukuba) | On the Cauchy problem for Weakly Hyperbolic
Equations of Higher Order |
| S. Lucente (Potenza) | Systems of crystal optics |
| C. Moussy (Paris VI) | Theoreme du Point Fixe et
Theoreme de
Cauchy-Kowalwsky-Lednev pour les Sytemes Non Lineaires |
| N. Nakazawa (Tsukuba) | On Hypoellipticity for Class of Pseudo-differential Operators |
| M. Prizzi (Trieste) | Parabolic Equations on Squeezed Domains |
| G. Taglialatela (Tsukuba) | Microlocal Smoothing Effect for Schrödinger Equations in Gevrey Spaces |
| M. Yamazaki (Tsukuba) | On the Discrete Boltzmann Equation
with Linear and Quadratic Terms |
| G. Ziliotti (Pisa) | Decay Estimates for Hyperbolic Systems |
Other interested persons are requested to contact one of the organizers.