Overview
- There are many lengthy books in blowup theories, this one is short and appropriate for graduate students.
- Emphasize the methods, avoid massive technical computations.
- Good enough for a one semester course.
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2018)
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Table of contents (9 chapters)
Keywords
About this book
Reviews
From the reviews:
“The book approaches the blow-up theories for semilinear parabolic equations using maximum principles and a priori estimates. … this book is an excellent mathematical monograph and a valuable reference for researchers in the field of nonlinear partial differential equations. This book also clearly benefits instructors who need a solid and updated text for a topic course in partial differential equations. The author has produced a commendable work of scholarly achievement.” (Hongwei Chen, Mathematical Reviews, Issue 2012 i)
“These lecture notes are intended for graduate students … of basic theory of second-order parabolic and elliptic equations. … At the end of each chapter, there is a set of well-chosen exercises. … It is a nice addition to the existing literature on blow-up since the previous books were mostly intended for more advanced readers.” (Marek Fila, Zentralblatt MATH, Vol. 1226, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Blow-up Theories for Semilinear Parabolic Equations
Authors: Bei Hu
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-18460-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-18459-8Published: 23 March 2011
eBook ISBN: 978-3-642-18460-4Published: 17 March 2011
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 127
Number of Illustrations: 2 b/w illustrations
Topics: Partial Differential Equations, Applications of Mathematics, Analysis