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Critical Point Theory = Sandwich and Linking Systems /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Critical Point Theory/ by Martin Schechter.
其他題名:	Sandwich and Linking Systems /
作者:	Schechter, Martin.
面頁冊數:	XXXVI, 320 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical optimization. -
電子資源:	https://doi.org/10.1007/978-3-030-45603-0
ISBN:	9783030456030

Critical Point Theory = Sandwich and Linking Systems /
Schechter, Martin.

Critical Point TheorySandwich and Linking Systems /[electronic resource] :by Martin Schechter. - 1st ed. 2020. - XXXVI, 320 p. 1 illus.online resource.

Preface -- Linking Systems -- Sandwich Systems -- Linking Sandwich Sets -- The Monotonicity Trick -- Infinite Dimensional Linking -- Differential Equations -- Schrödinger Equations -- Zero in the Spectrum -- Global Solutions -- Second Order Hamiltonian Systems -- Core Functions -- Custom Monotonicity Methods -- Elliptic Systems -- Flows and Critical Points -- The Semilinear Wave Equation -- Nonlinear Optics -- Radially Symmetric Wave Equations -- Multiple Solutions.

This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author’s own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book will serve as an invaluable resource for exploring recent developments in this active area of research, as well as the numerous ways in which critical point theory can be applied. Different methods for finding critical points are presented in the first six chapters. The specific situations in which these methods are applicable is explained in detail. Focus then shifts toward the book’s main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout. Critical Point Theory will be ideal for graduate students and researchers interested in solving differential equations, and for those studying variational methods. An understanding of fundamental mathematical analysis is assumed. In particular, the basic properties of Hilbert and Banach spaces are used.

ISBN: 9783030456030

Standard No.: 10.1007/978-3-030-45603-0doiSubjects--Topical Terms:

527675
Mathematical optimization.

LC Class. No.: QA402.5-402.6

Dewey Class. No.: 519.6

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