Operator semigroup and development equation

Author: Wang Mingxin
Publisher:
Publish Date: 2006-08-01
Features: This book systematically introduces the basic theory of linear operator semigroups and their applications in development equations. The book is divided into eight chapters: the first two chapters are preliminary knowledge; Chapter 3 introduces the basic theory of C0 semigroups and analytic semigroups; Chapter 4 introduces the abstract conclusions of semilinear development equations; Chapters 5 and 6 introduce semilinear parabolic equations and wave equations; Chapter 7 introduces fractional power operators, fractional power spaces, and quasilinear parabolic equations; Chapter 8 introduces the Schr?dinger equation. The book emphasizes application and examples. The content is profound yet accessible, with clear and easy-to-understand language, accompanied by appropriately challenging exercises.