Critical Point Theory - Schechter Martin | Libro Birkhäuser 05/2020 - HOEPLI.it


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Critical Point Theory Sandwich and Linking Systems




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Pubblicazione: 05/2020
Edizione: 1st ed. 2020





Sommario

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.




Trama

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.







Altre Informazioni

ISBN:

9783030456023

Condizione: Nuovo
Dimensioni: 235 x 155 mm Ø 699 gr
Formato: Copertina rigida
Illustration Notes:1 Illustrations, black and white
Pagine Arabe: 320
Pagine Romane: xxxvi






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