Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting

• Tác giả: Thomas Gauss
• Ngôn ngữ: eng
• ISBN-13: 978-3866445420
• ISBN: KSP/1000019300
• Ký hiệu phân loại: 515.352 Ordinary differential equations
• Thông tin xuất bản: Karlsruhe : KIT Scientific Publishing, 2010
• Mô tả vật lý: 1 electronic resource (IV, 130 p. p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 228868

Tóm tắt

In this work we explore the Floquet theory for evolution equations of the form u'(t)+A_t u(t)=0 (t real) where the operators A_t periodically depend on t and the function u takes values in a UMD Banach space X.We impose a suitable condition on the operator family (A_t) and their common domain, in particular a decay condition for certain resolvents, to obtain the central result that all exponentially bounded solutions can be described as a superposition of a fixed family of Floquet solutions.