Overview
- Serves as a suitable first reading on the theory of Viscosity Solutions
- Offers an elementary overview of the topic being specifically addressed to students and non-experts
- Can be used for a post-graduate course on the theory of Viscosity Solutions
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (9 chapters)
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General Theory
Keywords
About this book
Reviews
“In this small book, the author, after introducing basic and non-basic concepts of the theory of viscosity solutions for first and second order PDEs, applies the theory to two specific problems such as existence of viscosity solution for the Euler-Lagrange PDE and for the ∞-Laplacian. … The book can be certainly used as text for an advanced course and also as manual for researchers.” (Fabio Bagagiolo, zbMATH, Vol. 1326.35006, 2016)
“The book under review is a nice introduction to the theory of viscosity solutions for fully nonlinear PDEs … . The book, which is addressed to a public having basic knowledge in PDEs, is based on a course given by the author … . The explanations are very clear, and the reader is introduced to the theory step by step, the author taking the time to explain several technical details, but without making the exposition too heavy.”(Enea Parini, Mathematical Reviews, November, 2015)
Authors and Affiliations
Bibliographic Information
Book Title: An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞
Authors: Nikos Katzourakis
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-12829-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2015
Softcover ISBN: 978-3-319-12828-3Published: 10 December 2014
eBook ISBN: 978-3-319-12829-0Published: 26 November 2014
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XII, 123
Number of Illustrations: 24 b/w illustrations, 1 illustrations in colour
Topics: Partial Differential Equations, Calculus of Variations and Optimal Control; Optimization