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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 280 mm
Breite: 210 mm
Gewicht
ISBN-13
978-0-582-25340-7 (9780582253407)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
University of Montreal, Quebec, Canada
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.
