Conference on
Microlocal Analysis and Related Topics

RIMS, Kyoto, October 22 - 26, 2001

Organizing committee: Hidetoshi Tahara (Sophia University); Yasunori Okada (Chiba University); Hideshi Yamane (Chiba Institute of Technology)
Conference Venue: Room No. 115; Research Institute of Mathematical Sciences,; Kyoto University, Kyoto, Japan

Update

2001/10/15: The title of the talk by Prof. Matsuzawa (Wednesday 11:00-11:50) has been changed.

Program

13:30-14:20 S. Ouchi (Sophia University): Asymptotic behaviors of singular homogeneous solutions of some linear partial differential operators in the complex domain
14:30-15:20 B.-W. Schulze (University of Potsdam): Corner pseudo-differential calculus and iterated asymptotics
15:30-16:10 M. Uchida (Osaka University): Lacunas and singularities of fundamental solutions of hyperbolic differential operators
16:20-17:00 J.E.C. Lope (University of Philippines): A note on the analytic continuation of solutions to nonlinear partial differential equations

10:00-10:50 A. Kozhevnikov (University of Haifa): Complete scale of isomorphisms for elliptic pseudodifferential boundary-value problems
11:00-11:50 Th. Krainer (University of Potsdam): An operator algebra approach to parabolic boundary value problems
13:30-14:20 T. Mandai (Osaka Electro-Communication University): Structure of the solutions to Fuchsian systems（with H.Tahara)
14:30-15:20 T. Aoki (Kinki University), T. Kawai (RIMS, Kyoto University), Y. Takei (RIMS, Kyoto University): Exact WKB analysis of non-adiabatic transition probabilities for three levels
15:30-16:10 K. Ichinobe (Nagoya University): On kernel function for Borel sum of diveregent solution to a certain non-Kowalevski type equation
16:20-17:00 Y. Chiba (University of Tokyo): Symbolic construction of microlocal solutions for partial differential equations of irregular type by WKB methods

10:00-10:50 O. Liess (University of Bologna): Applications of the local theory of the Fourier transform for hyperfunctions
11:00-11:50 T. Matsuzawa (Meijo University): Gevrey hypoellipticity for Grushin class and FBI-Transformation
13:30-14:20 N.M. Tri (Hanoi Institute of Mathematics): Gevrey regularity of solutions of semilinear partial differential equations with multiple characteristics
14:30-15:20 T. Takiguchi (National Defence Academy): Non-unique solvability of a Cauchy problem for the wave equation in quasi-analytic ultradistribution category
15:30-16:10 H. Yamazawa （Caritas Junior College）: Singular solutions of the Briot-Bouquet type partial differential equations
16:20-17:00 M. Suwa (Sophia University): Fourier ultra-hyperfunctions as the boundary values of smooth solutions of heat equations
18:00-20:00 Coference Dinner

10:00-10:50 K. Uchikoshi (National Defence Academy): Irregularities for nonlinear hyperbolic equations
11:00-11:50 T. Kinoshita (University of Tsukuba): On the Cauchy problem for weakly hyperbolic equations of higher order
13:30-14:20 M. Dreher (University Tsukuba): The Gevrey well--posedness of Schroedinger type equations
14:30-15:20 H. Takuwa (Kyoto University): Analytic smoothing effects for a class of dispersive equations
15:30-16:10 Y. Yasutomi (University of Tokyo): Modified elastic wave equations on Riemannian manifolds and Kaehler manifolds
16:20-17:00 K. Yura (Osaka University): On the Atiyah-Bott-Garding homology class for the boundary value problem for the wave equation

10:00-10:50 H. Tahara (Sophia University): Solvability of nonlinear totally characteristic partial differential equations in the complex domain - when resonances occur -
11:00-11:50 M. Yoshino (Chuo University): Fuchsian PDE with applications to normal forms of resonant vector fields
13:30-14:20 K. Kataoka (University of Tokyo): Boundary values of classical formal symbols of pseudo-differential operators
14:30-15:20 H. Yamane (Chiba Institute of Technology): Fourier-Ehrenpreis integral representation of harmonic functions in four variables
15:30-16:10 Y. Sugiki (University of Tokyo): The dual concept of sheaves and Integral transforms
16:20-17:00 H. Uematsu (University of Tokyo): Vanishing theorems for the sheaf of hyperfunctions and microfunctions with holomorphic parameters