{ "item_title" : "The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations", "item_author" : [" J. C. Meyer", "D. J. Needham "], "item_description" : "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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/1/10/747/739/1107477395_b.jpg", "price_data" : { "retail_price" : "76.00", "online_price" : "76.00", "our_price" : "76.00", "club_price" : "76.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

Overview

Customers Also Bought

Details