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

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

Kobo ebook | June 30, 2015

Pricing and Purchase Info

$59.69 online 
$74.61 list price save 19%

Prices and offers may vary in store

Available for download

Not available in stores

about

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.
Title:The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential EquationsFormat:Kobo ebookPublished:June 30, 2015Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN:9990050656245

Reviews