Potential Theory and its Related Fields

Date: December 18 (Mon) - December 20 (Wed), 2006

Place: Room 115, Research Institute for Mathematical Sciences, Kyoto University

Organizers

Noriaki Suzuki (Nagoya Univ.) Chair

Hiroaki Aikawa (Hokkaido Univ.) Vice-chair

December 18 (Mon)

13:00 - 14:00 Juha Kinnunen (University of Oulu)

On the definition and properties of superharmonic functions for a quasilinear parabolic equation

14:10 - 15:10 Masayoshi Takeda (Tohoku Univ.)

Some topics connecting integrability of Feynman-Kac functionals

15:20 - 16:20 Minoru Murata (Tokyo Insitute of Technology)

Structure of non-negative solutions to parabolic equations and perturbations of elliptic operators

16:30 - 17:00 Fumi-Yuki Maeda (Hiroshima Univ.)

p(x)-harmonic functions with isolated singularities

9:30 - 10:30 Kazuhiro Ishige (Tohoku Univ.)

On the behavior of maximum points of solutions to heat equations with potential term

10:40 - 11:40 Shigeaki Koike (Saitama Univ.)

Perron-Ishii method for viscosity solutions

11:50 - 12:20 Kentaro Hirata (Hokkaido Univ.)

On the boundary growth of superharmonic functions satisfying nonlinear inequalities

14:00 - 14:30 Hiroaki Masaoka (Kyoto Sangyo Univ.)

Families of harmonic functions on a Riemann surface

14:40 - 15:10 Takahide Kurokawa (Kagoshima Univ.)

On the complementary space of Lizorkin space

15:20 - 15:50 Takafumi Murai (Tokyo Insitute of Technology)

The law of the third power type determining the 2-dimensional size of the sand-dune

16:00 - 16:30 Mitsuru Nakai (Nagoya Insitute of Technology), Toshimasa Tada (Daido Insitute of Technology)

On the mean continuity of Gauss

16:40 - 17:10 Takayori Ono (Fukuyama Univ.)

A convergence property for quasisuperminimizers on metric measure spaces

December 20 (Wed)

9:30 - 10:30 Toshio Horiuchi (Ibaraki Univ.)

On the missing term in classical inequalities

10:40 - 11:40 Takeo Ohsawa (Nagoya Univ.)

Recent developments in the complex Monge-Ampere equation (tentative)

11:50 - 12:20 Yoshihiro Mizuta and Tetsu Shimomura (Hiroshima univ.)

Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes

14:00 - 14:30 Takao Ohno (Hiroshima Univ.)

Continuity properties for logarithmic potentials of functions in Morrey spaces of variable exponent

14:40 - 15:10 Katsutaka Shimomura (Ibaraki Univ.)

Caloric morphisms for rotationally invariant metrics

15:20 - 15:50 Masahiro Yamada (Gifu Univ.), Masaharu Nishio (Osaka City Univ.), Noriaki Suzuki (Nagoya Univ.)

On compactness of Toeplitz operators and Carleson measures for parabolic Bergman spaces

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