## Shuichi Jimbo

Professor

### Looking at solutions of PDE by deforming the domain

Department of Mathematics, Mathematics

Theme | Analysis into the spectral structure of elliptic opeatros in a complicated domains |

Field | Applied Analysis, Partial Differential Equations |

Keyword | Complicated domains, Elliptic operator, Spectral Analysis |

#### Introduction of Research

Solutions of partial defferential equations depend on the geometric property of domans. The origin of analysis into such mathematical phenomena is the work of famous Hadamard of 100years ago. He studied the pertubation of the eigenvalue of the Laplacian under deformation of domains. The phenomena of light, sound, vibration of materials depend on the geometric properties of the environment where they occur. I study the mathematical relation and dependence through the elliptic opeators which arise in the model equations of the phenomena.

#### Representative Achievements

Academic background | 1981 Bachelor of the Univesity of Tokyo 1983 Master of the Univesity of Tokyo 1987 Doctor of the University of Tokyo 1987 Assistant professor of the University of Tokyo 1990 Lecturer of Okayama university 1992 Associate professor of Okayama University 1993 Associate professor of Hokkaido university 1999 Professor of Hokkaido university |

Affiliated academic society | Mathematical Society of Japan |