Functional Analysis and Differential Equations in Abstract Spaces
Published in May 1999
Book
Hardback
200 pages
978-0-8493-0689-1 (ISBN)
Description
This is an elementary text - requiring a minimum of knowledge in the field - about very classical function analysis, combined with results of differential equations in Hilbert or Banach spaces. The author presents results from abstract Cauchy problems - in implicit or explicit form - and related semigroups of operators, weak and ultraweak solutions, the uniqueness of bounded ultra solutions. He also offers some results about almost-periodic solution, and an asymptotic result for a differential inequality in ultra-weak form.
More details
Series
Language
English
Place of publication
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
references, indexes
Dimensions
Height: 229 mm
Width: 152 mm
ISBN-13
978-0-8493-0689-1 (9780849306891)
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Schweitzer Classification
Content
Hilbert space - definitions, first results; Banach spaces and linear operators; duality - the Hahn-Banach extension theorem; some singular (implicit) abstract differential equations; semigroups of class Co and the abstract Cauchy problem; compact linear operators; continuous symmetric operators in Hilbert spaces; semidynamical systems and Co semigroups; uniqueness of ultraweak solutions for a second order abstract Cauchy problem in Banach space; uniqueness of bounded ultraweak solutions in Hilbert space; almost periodic solutions (I); the well-posed ultraweak Cauchy problem and related semigroups of operators; asymptotic result for ultraweak differential inequalities in Hilbert space; almost periodic solutions (II); variational forms of the equation Au=f in Hilbert space; solution of the weak Neumann problem in an arbitrary open set of Rn.