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Lecture Notes in Mathematics

Existence Families, Functional Calculi and Evolution Equations

Authors: DeLaubenfels, Ralph

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About this book

This book presents an operator-theoretic approach to ill-posed evolution equations. It presents the basic theory, and the more surprising examples, of generalizations of strongly continuous semigroups known as 'existent families' and 'regularized semigroups'. These families of operators may be used either to produce all initial data for which a solution in the original space exists, or to construct a maximal subspace on which the problem is well-posed. Regularized semigroups are also used to construct functional, or operational, calculi for unbounded operators. The book takes an intuitive and constructive approach by emphasizing the interaction between functional calculus constructions and evolution equations. One thinks of a semigroup generated by A as etA and thinks of a regularized semigroup generated by A as etA g(A), producing solutions of the abstract Cauchy problem for initial data in the image of g(A). Material that is scattered throughout numerous papers is brought together and presented in a fresh, organized way, together with a great deal of new material.

Table of contents (31 chapters)

Table of contents (31 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-540-48322-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-540-57703-4
  • Free shipping for individuals worldwide. COVID-19 shipping restrictions apply.
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Existence Families, Functional Calculi and Evolution Equations
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1570
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48322-9
DOI
10.1007/BFb0073401
Softcover ISBN
978-3-540-57703-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 244
Topics

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