Topics in Abstract Differential Equations II
1st Edition
Published on 20. March 1995
Book
Hardback
176 pages
978-0-582-25340-7 (ISBN)
Description
This looks at a new branch of operator theory and partial differential equations, which in recent years, has become a rapidly growing field of mathematics. Well-posed problems are studied in the context of the theory of operator groups and semigroups as well as the framework of time dependent evolution equations. Non well-posed problems are also considered.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 280 mm
Width: 210 mm
Weight
303 gr
ISBN-13
978-0-582-25340-7 (9780582253407)
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Schweitzer Classification
Person
Content
Some results about almost-periodic solutions; Some more results about almost-periodic solutions; Almost-periodicity of solutions of the abstract wave equation; Structure of bounded solution for a class of abstract differential equations; An existence result for Stepanoff almost-periodic differential equations; Almost-periodicity of bounded solutions; Integration of the abstract wave equation; Optimal bounded solutions of the non-homogeneous abstract wave equation; Extension of the theorem by Bohr and Neugebeuer; Uniformly well-posed ultraweak Cauchy problem and related semi groups of operators; Well-posed ultraweak Cauchy problem in a linear submanifold; Regularity and regularization of ultraweak solutions; Uniqueness of the ultraweak Cauchy problem; Lower bounds for strong solutions of abstract differential inequalities; Lower bound for (ultra) weak solutions of abstract differential inequalities; Almost-periodic solutions of the non-homogeneous abstract equation; Bounded and unbounded solutions of the abstract wave equation; Optimal mild solutions of non-homogeneous differential equations in Banach spaces; Convexity properties of solutions for some differential equations in Hilbert space; Weakly almost-periodic solutions of non-homogeneous differential equations in Banach spaces; Almost-automorphic solutions.