Second Order Linear Differential Equations in Banach Spaces

Second Order Linear Differential Equations in Banach Spaces
Author :
Publisher : Elsevier
Total Pages : 313
Release :
ISBN-10 : 0080872190
ISBN-13 : 9780080872193
Rating : 4/5 (90 Downloads)

Book Synopsis Second Order Linear Differential Equations in Banach Spaces by : H.O. Fattorini

Download or read book Second Order Linear Differential Equations in Banach Spaces written by H.O. Fattorini and published by Elsevier. This book was released on 2011-08-18 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al. In this way, a unified treatment can be given to subjects such as growth of solutions, singular perturbation of parabolic, hyperbolic and Schrödinger type initial value problems, and the like. The book covers in detail these subjects as well as the applications to each specific problem.


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INTRODUCTION . . . . . . xiii § 1. LINEAR EQUATIONS. BASIC NOTIONS . 3 § 2. EQUATIONS WITH A CLOSED OPERATOR 6 § 3. THE ADJOINT EQUATION . . . . . . 10 § 4.