Springer Proceedings in Mathematics & Statistics

Progress in Partial Differential Equations

Asymptotic Profiles, Regularity and Well-Posedness

Editors: Reissig, Michael, Ruzhansky, Michael V. (Eds.)

  • Contains survey and research articles
  • Provides an excellent introduction to special research topics
  • Suited for graduate students and researchers at various levels
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  • ISBN 978-3-319-03342-6
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About this book

Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society.

This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are:

• Linear hyperbolic equations and systems (scattering, symmetrisers)
• Non-linear wave models (global existence, decay estimates, blow-up)
• Evolution equations (control theory, well-posedness, smoothing)
• Elliptic equations (uniqueness, non-uniqueness, positive solutions)
• Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)

Table of contents (18 chapters)

  • Global Existence and Energy Decay of Solutions for a Nondissipative Wave Equation with a Time-Varying Delay Term

    Benaissa, Abbes (et al.)

    Pages 1-26

  • Non-uniqueness and Uniqueness in the Cauchy Problem of Elliptic and Backward-Parabolic Equations

    Santo, Daniele (et al.)

    Pages 27-52

  • On Internal Regularity of Solutions to the Initial Value Problem for the Zakharov–Kuznetsov Equation

    Faminskii, A. V. (et al.)

    Pages 53-74

  • Singular Semilinear Elliptic Equations with Subquadratic Gradient Terms

    Ghergu, Marius

    Pages 75-91

  • On the Parabolic Regime of a Hyperbolic Equation with Weak Dissipation: The Coercive Case

    Ghisi, Marina (et al.)

    Pages 93-123

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-319-00125-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-319-00124-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-3-319-03342-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Progress in Partial Differential Equations
Book Subtitle
Asymptotic Profiles, Regularity and Well-Posedness
Editors
  • Michael Reissig
  • Michael V. Ruzhansky
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
44
Copyright
2013
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00125-8
DOI
10.1007/978-3-319-00125-8
Hardcover ISBN
978-3-319-00124-1
Softcover ISBN
978-3-319-03342-6
Series ISSN
2194-1009
Edition Number
1
Number of Pages
VIII, 447
Topics