Essentials of Partial Differential Equations

With Applications

Authors: Marin, Marin, Öchsner, Andreas

  • Offers a two-step approach to partial differential equations: first an introduction to the theory and then modern problems 
  • Presents all the important classical notions: differential operators, characteristic surfaces, Levi functions, and Green’s theory 
  • Includes the main initial boundary value problems associated with elliptic, parabolic, and hyperbolic equations
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eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-319-90647-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-90646-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject.

Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations. 

About the authors

Marin Marin is Professor at the Department of Mathematics and Computer Science of the Transilvania University of Brasov. 

Andreas Öchsner (born 19 October 1970) is a Professor and Head of Discipline in Mechanical Engineering at Griffith University, Queensland, Australia, and is also a Conjoint Professor at the Centre for Mass and Thermal Transport in Engineering Materials at the University of Newcastle (Australia). He is the author and co-author of over 150 refereed journal papers, more than 70 conference papers and 15 book chapters in the area of advanced materials and structures. Furthermore, he is the author and co-author of five books and 13 research monographs.

Table of contents (16 chapters)

  • Quasilinear Equations

    Marin, Marin (et al.)

    Pages 3-15

  • Differential Operators of Second Order

    Marin, Marin (et al.)

    Pages 17-59

  • The Theory of Potential

    Marin, Marin (et al.)

    Pages 61-109

  • Boundary Value Problems for Elliptic Operators

    Marin, Marin (et al.)

    Pages 111-136

  • Operational Calculus

    Marin, Marin (et al.)

    Pages 137-168

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-319-90647-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-90646-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Essentials of Partial Differential Equations
Book Subtitle
With Applications
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-90647-8
DOI
10.1007/978-3-319-90647-8
Hardcover ISBN
978-3-319-90646-1
Edition Number
1
Number of Pages
XI, 380
Topics