APPROXIMATION TROTTER_KATO OF C0 SEMIGROUP

  • Trinh Xuan Yen Hung Yen University of Technology and Education

Abstract

In this paper we will state about some Trotter-Kato approximation and Yosida approximation of strongly continuous operator semigroups and its generators. The paper used boundedness of strongly continuous semigroups and the property of generator and resolvent prove that convergence and uniform convergence of semigroups.

References

Phạm Kỳ Anh, Trần Đức Long. Giáo trình Hàm thực và Giải tích hàm, NXB ĐHQG HÀ NỘI, 2001.

Hoàng Tụy. Giáo trình Hàm thực và Giải tích hàm, NXB ĐHQG HÀ NỘI, 2002.

Jerome. A. Goldstein. Semigroups of Linear Operators anh Application, Oxford University Press. Clarendon Press, 1985.

Klaus-Jochen Engel Rainer Nagel. One-Parameter Semigroups of Linear Evolution Equation, Springer, 2000.

A. Pazy. Semigroups of Linear Operators anh Application to Partial Differential Equations, Springer, New York, 1983.

Tosio Kato. Perturbation Theory for Linear Operators, Springer-Verlag, 1976.

Published
2018-10-10