Yoshikazu KOBAYASHI
Professor

Telephone: +81-3-3817-1753

Fax: +81-3-3817-1746

E-mail: kobayashi@math.chuo-u.ac.jp

Degrees:

B. Sci. (Mathematics), Waseda University, 1970. M. Sci. (Mathematics), Waseda University, 1972. D. Sci. (Mathematics), Waseda University, 1976.

Research Interest:

My research interests include nonlinear functional analysis, partial differential equations and numerical analysis, related to the nonlinear theory of evolution equations and semigroups of operators, and applications to initial-boundary-value problems of diffusion and conservation laws.

Among my technical contributions are the development of generation, convergent and approximation theory of nonlinear semigroups of nonexpansive mappings on closed subsets of a general Banach space. More applied contributions include the existence, representation and numerical approximation theory of solutions for initial value problems for single conservation laws and for porous medium equations. Recently, I have introduced and initiated the theory of semigroups of Lipschitz operators and the applications to quasi-linear wave equations.

Selected Publications:

1. Y. Kobayashi and N. Tanaka, "Nonlinear Semigroups and Evolution Governed by Generalized Dissipative Operators", Advances in Mathematical Sciences and Applications, Vol.3(1994), pp.401-426.
2. Y. Kobayashi and S.Oharu,"Semigroups of Locally Lipschitzian Operators and Applications", Lecture Notes in Mathematics, Vol.1540(1993), Functional Analysis and Related Topics, Kyoto 1991, pp.191-211.
3. Y. Kobayashi and S.Oharu, "Semigroups of Locally Lipschitzian Operators in Banach Space", Hiroshima Mathematical Journal, Vol. 20(1990), pp.578-611.

Professional Activity:

The Mathematical Society of Japan, Member. The Japan Society for Industrial and Applied Mathematics, Member. Advances in Mathematical Sciences and Applications, Editor.