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The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations by J. C. Meyer, D. J. Needham (Paperback, 2015)

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About this product

Product Information

Reaction-diffusion theory is a topic which has developed rapidly over the last thirty years, particularly with regards to applications in chemistry and life sciences. Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous, is Hoelder and/or upper Lipschitz continuous, a scenario that is not well studied, despite occurring often in models. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard). Extensions of classical maximum/minimum principles, comparison theorems and derivative (Schauder-type) estimates are developed and employed. Detailed specific applications are presented in the later stages of the monograph. Requiring only a solid background in real analysis, this book is suitable for researchers in all areas of study involving semi-linear parabolic PDEs.

Product Identifiers

Publisher
Cambridge University Press
ISBN-13
9781107477391
eBay Product ID (ePID)
213500339

Product Key Features

Author
J. C. Meyer, D. J. Needham
Publication Name
The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2015
Type
Textbook
Number of Pages
173 Pages

Dimensions

Item Height
228mm
Item Width
152mm
Item Weight
260g

Additional Product Features

Title_Author
D. J. Needham, J. C. Meyer
Series Title
London Mathematical Society Lecture Note Series
Country/Region of Manufacture
United Kingdom

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