Heat equations and related topics

Tohoku University, Graduate School of Scinences, Kawai Hall

18 - 20 October 2001

18 October:

1300 - 1350 A. Grigor'yan (Imperial College)

Sub-diffusive random walks on infinite graphs

1410 - 1500 Urakawa Hajime (Tohoku University)

The heat kernel and the isoperimetric constant of infinite graphs

1530 - 1620 Kumura Hironori (Shizuoka Univ.)

Hardy, $L^{p}$ Sobolev inequality, and intrinsic ultracontractivity of compact Riemannian manifold with boundary

1640 - 1730 Takegoshi Kensho (Osaka Univ.)

A generalized maximum principle for quasi-linear elliptic operators and related topics in differential geometry

19 October

1000 - 1050 Aikawa Hiroaki (Shimane Univ.)

Positive harmonic functions of finite order in a Denjoy type domain

1110 - 1200 Tsuchida Tetsuo (Meijo Unov.)

Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients (with Minoru Murata)

1330 - 1420 A. Grigor'yan (Imperial College)

Random walks on infinite groups

1440 - 1530 Murata Minoru (Tokyo Institute of Technology)

Heat escape

1600 - 1650 Kurata Kazuhiro (Tokyo Metropolitan Univ.)

Existence of positive solution for some nonlinear elliptic equation on unbounded domains with cylindrical ends (with Masataka Shibata and Kazuo Tada)

20 October

1000 - 1050 Ishige Kazuhiro (Nagoya Univ.)

Blow-up problems for semilinear heat equations with large diffusion

1110 - 1200 Atsuji Atsushi (Keio Univ.)

Some view of Minimal submanifolds from Probability and Function theory

1330 - 1420 A. Grigor'yan (Imperial College)

Diffusions on non-compact Riemannian manifolds

1440 - 1530 Hino Masanori (Kyoto Univ.)

Short time asymptotics of symmetric semigroups associated with local Dirichlet forms (with J. A. Ram\'\i rez)

1600 - 1650 Takeda Masayoshi (Tohoku Univ.)

Conditional gaugeability and subcriticality of generalized Schr\"odinger operators