{"product_id":"9781316290484","title":"The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations","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.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":47130879918320,"sku":"9781316290484","price":33.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781316290484_p0.jpg?v=1763706397","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781316290484","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}