Overview
- 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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Table of contents (16 chapters)
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Front Matter
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Solutions in Distributions
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Front Matter
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Back Matter
Keywords
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 ofthe theory of partial differential equations.
Authors and Affiliations
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.
Bibliographic Information
Book Title: Essentials of Partial Differential Equations
Book Subtitle: With Applications
Authors: Marin Marin, Andreas Öchsner
DOI: https://doi.org/10.1007/978-3-319-90647-8
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2019
Hardcover ISBN: 978-3-319-90646-1Published: 25 May 2018
Softcover ISBN: 978-3-030-08064-8Published: 08 February 2019
eBook ISBN: 978-3-319-90647-8Published: 09 May 2018
Edition Number: 1
Number of Pages: XI, 380
Topics: Engineering Mathematics, Partial Differential Equations, Solid Mechanics