研究集会
「超局所解析とその周辺」

Microlocal Analysis and Related Topics

2001年10月22日-26日
京都大学・数理解析研究所

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13:30-14:20 大内忠 (上智大理工): 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 内田素夫 (阪大理): 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 萬代武史 (大阪電通大工): Structure of the solutions to Fuchsian systems（with H.Tahara)
14:30-15:20 青木貴史 (近畿大理工), 河合隆裕 (京大数理研), 竹井義次 (京大数理研): Exact WKB analysis of non-adiabatic transition probabilities for three levels
15:30-16:10 市延邦夫 (名大多元数理): On kernel function for Borel sum of diveregent solution to a certain non-Kowalevski type equation
16:20-17:00 千葉康生 (東大数理): 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 松澤忠人 (名城大理工): 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 滝口孝志 (防衛大): Non-unique solvability of a Cauchy problem for the wave equation in quasi-analytic ultradistribution category
15:30-16:10 山澤浩司 (カリタス女子短大): Singular solutions of the Briot-Bouquet type partial differential equations
16:20-17:00 諏訪将範 (上智大理工): Fourier ultra-hyperfunctions as the boundary values of smooth solutions of heat equations
18:00-20:00 Coference Dinner

10:00-10:50 打越敬祐 (防衛大): Irregularities for nonlinear hyperbolic equations
11:00-11:50 木下保 (筑波大数学系): On the Cauchy problem for weakly hyperbolic equations of higher order
13:30-14:20 M. Dreher (筑波大数学系): The Gevrey well--posedness of Schroedinger type equations
14:30-15:20 多久和英樹 (京大院情報): Analytic smoothing effects for a class of dispersive equations
15:30-16:10 安富義泰 (東大数理): Modified elastic wave equations on Riemannian manifolds and Kaehler manifolds
16:20-17:00 由良浩一 (阪大理): On the Atiyah-Bott-Garding homology class for the boundary value problem for the wave equation

10:00-10:50 田原秀敏 (上智大理工): Solvability of nonlinear totally characteristic partial differential equations in the complex domain - when resonances occur -
11:00-11:50 吉野正史 (中央大経済): Fuchsian PDE with applications to normal forms of resonant vector fields
13:30-14:20 片岡清臣 (東大数理): Boundary values of classical formal symbols of pseudo-differential operators
14:30-15:20 山根英司 (千葉工大): Fourier-Ehrenpreis integral representation of harmonic functions in four variables
15:30-16:10 杉木雄一 (東大数理): The dual concept of sheaves and Integral transforms
16:20-17:00 植松洋史 (東大数理): Vanishing theorems for the sheaf of hyperfunctions and microfunctions with holomorphic parameters