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Springer Monographs in Mathematics

Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains

Authors: Agranovich, Mikhail S.

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  • Comprehensive textbook on current theory of Sobolev spaces
  • Contains new results
  • One of the few books on the topic suitable for students
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-14648-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-14647-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 18, 2016
  • ISBN 978-3-319-35183-4
  • Free shipping for individuals worldwide
About this Textbook

This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in non-smooth (Lipschitz) domains for strongly elliptic systems.

The author, who is a prominent expert in the theory of linear partial differential equations, spectral theory and pseudodifferential operators, has included his own very recent findings in the present book.

The book is well suited as a modern graduate textbook, utilizing a thorough and clear format that strikes a good balance between the choice of material and the style of exposition. It can be used both as an introduction to recent advances in elliptic equations and boundary value problems and as a valuable survey and reference work. It also includes a good deal of new and extremely useful material not available in standard textbooks to date.

Graduate and post-graduate students, as well as specialists working in the fields of partial differential equations, functional analysis, operator theory and mathematical physics will find this book particularly valuable.

Reviews

“This very interesting book presents a systematic study of elliptic problems in smooth and Lipschitz domains. … This modern graduate textbook is certainly an excellent starting point for any kind of further investigations. It is useful for specialists and researchers working in the fields of partial differential equations and mathematical physics. This book is also suitable as an introduction to the themes described above.” (Günter Berger, Mathematical Reviews, April, 2016)

“This book should be very useful for all mathematicians and mathematical physicists who want to learn the powerful techniques related to the properties of Sobolev spaces. It is also addressed to graduate students and young researchers interested in new ideas linking all the subjects involved.” (Vicenţiu D. Rădulescu, zbMATH 1322.46002, 2015)


Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-14648-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-14647-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 18, 2016
  • ISBN 978-3-319-35183-4
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-14648-5
DOI
10.1007/978-3-319-14648-5
Hardcover ISBN
978-3-319-14647-8
Softcover ISBN
978-3-319-35183-4
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XIII, 331
Topics