The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations

Meyer, J. C.; Needham, D. J.

ISBN 10: 1107477395 / ISBN 13: 9781107477391

Editore: Cambridge University Press, 2015

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In nearly new condition: firm and square with strong joints, no creases. Just a few hardly noticeable cosmetic rubs Hence a non-text page shows a small 'damaged' stamp. Despite such this book looks and feels unread. Thus the contents are crisp, fresh and tight. And so a very nice book in great condition, now offered for sale at a reasonable price. Codice articolo 203956

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Titolo: The Cauchy Problem for Non-Lipschitz ...

Casa editrice: Cambridge University Press

Data di pubblicazione: 2015

Legatura: Paperback

Condizione: Like New

Edizione: First Edition.

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Riassunto:

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 Hölder 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.

Descrizione del libro:

Reaction-diffusion theory is a rapidly developing topic with important applications. This monograph, which includes significant new results, provides a general approach to the study of semi-linear parabolic equations with Hölder and/or upper Lipschitz continuous nonlinearities, a scenario that occurs often in reaction-diffusion models in chemical kinetics, biochemical systems and population dynamics.