The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations PDF full book. Access full book title The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations by J. C. Meyer. Download full books in PDF and EPUB format.
Author: J. C. Meyer
Publisher: Cambridge University Press
ISBN: 1316301079
Category : Mathematics
Languages : en
Pages : 177
Get Book Here
Book 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.
Author: J. C. Meyer
Publisher: Cambridge University Press
ISBN: 1316301079
Category : Mathematics
Languages : en
Pages : 177
Get Book Here
Book 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.
Author: Jan Krajíček
Publisher: Cambridge University Press
ISBN: 1139493922
Category : Mathematics
Languages : en
Pages : 265
Get Book Here
Book Description
This book introduces a new approach to building models of bounded arithmetic, with techniques drawn from recent results in computational complexity. Propositional proof systems and bounded arithmetics are closely related. In particular, proving lower bounds on the lengths of proofs in propositional proof systems is equivalent to constructing certain extensions of models of bounded arithmetic. This offers a clean and coherent framework for thinking about lower bounds for proof lengths, and it has proved quite successful in the past. This book outlines a brand new method for constructing models of bounded arithmetic, thus for proving independence results and establishing lower bounds for proof lengths. The models are built from random variables defined on a sample space which is a non-standard finite set and sampled by functions of some restricted computational complexity. It will appeal to anyone interested in logical approaches to fundamental problems in complexity theory.
Author: William J. Harvey
Publisher: Cambridge University Press
ISBN: 0521733073
Category : Mathematics
Languages : en
Pages : 416
Get Book Here
Book Description
Original research and expert surveys on Riemann surfaces.
Author: Steve Bradlow
Publisher: Cambridge University Press
ISBN: 0521734711
Category : Mathematics
Languages : en
Pages : 516
Get Book Here
Book Description
Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Author: S. Albeverio
Publisher: Cambridge University Press
ISBN: 0521148561
Category : Mathematics
Languages : en
Pages : 369
Get Book Here
Book Description
A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.
Author: Martin R. Bridson
Publisher: Cambridge University Press
ISBN: 052175724X
Category : Mathematics
Languages : en
Pages : 331
Get Book Here
Book Description
An extended tour through a selection of the most important trends in modern geometric group theory.
Author: John Coates
Publisher: Cambridge University Press
ISBN: 1316241300
Category : Mathematics
Languages : en
Pages : 317
Get Book Here
Book Description
There are still many arithmetic mysteries surrounding the values of the Riemann zeta function at the odd positive integers greater than one. For example, the matter of their irrationality, let alone transcendence, remains largely unknown. However, by extending ideas of Garland, Borel proved that these values are related to the higher K-theory of the ring of integers. Shortly afterwards, Bloch and Kato proposed a Tamagawa number-type conjecture for these values, and showed that it would follow from a result in motivic cohomology which was unknown at the time. This vital result from motivic cohomology was subsequently proven by Huber, Kings, and Wildeshaus. Bringing together key results from K-theory, motivic cohomology, and Iwasawa theory, this book is the first to give a complete proof, accessible to graduate students, of the Bloch–Kato conjecture for odd positive integers. It includes a new account of the results from motivic cohomology by Huber and Kings.
Author: James C. Robinson
Publisher: Cambridge University Press
ISBN: 1107609259
Category : Mathematics
Languages : en
Pages : 275
Get Book Here
Book Description
A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.
Author: Cun-Quan Zhang
Publisher: Cambridge University Press
ISBN: 1107268249
Category : Mathematics
Languages : en
Pages : 380
Get Book Here
Book Description
The famous Circuit Double Cover conjecture (and its numerous variants) is considered one of the major open problems in graph theory owing to its close relationship with topological graph theory, integer flow theory, graph coloring and the structure of snarks. It is easy to state: every 2-connected graph has a family of circuits covering every edge precisely twice. C.-Q. Zhang provides an up-to-date overview of the subject containing all of the techniques, methods and results developed to help solve the conjecture since the first publication of the subject in the 1940s. It is a useful survey for researchers already working on the problem and a fitting introduction for those just entering the field. The end-of-chapter exercises have been designed to challenge readers at every level and hints are provided in an appendix.
Author: R. Bautista
Publisher: Cambridge University Press
ISBN: 0521757681
Category : Mathematics
Languages : en
Pages : 463
Get Book Here
Book Description
A detailed account of main results in the theory of differential tensor algebras.
