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Author : Mikko Parviainen
Release :
Genre :
Kind : eBook
Book Rating : 793/5 ( reviews)
Book Synopsis Notes on Tug-of-War Games and the p-Laplace Equation by : Mikko Parviainen
Download or read book Notes on Tug-of-War Games and the p-Laplace Equation written by Mikko Parviainen. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Lindqvist
Release : 2016-05-25
Genre : Mathematics
Kind : eBook
Book Rating : 323/5 ( reviews)
Book Synopsis Notes on the Infinity Laplace Equation by : Peter Lindqvist
Download or read book Notes on the Infinity Laplace Equation written by Peter Lindqvist. This book was released on 2016-05-25. Available in PDF, EPUB and Kindle. Book excerpt: This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. The Infinity-Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications to image processing and to mass transfer problems, and it provides optimal Lipschitz extensions of boundary values.
Author : Marta Lewicka
Release : 2020-06-19
Genre : Mathematics
Kind : eBook
Book Rating : 099/5 ( reviews)
Book Synopsis A Course on Tug-of-War Games with Random Noise by : Marta Lewicka
Download or read book A Course on Tug-of-War Games with Random Noise written by Marta Lewicka. This book was released on 2020-06-19. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise. The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book suitable as a textbook for a graduate course, as well as for self-study. Extensive background and auxiliary material allow the tailoring of courses to individual student levels.
Author : John Lewis
Release : 2012-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 448/5 ( reviews)
Book Synopsis Regularity Estimates for Nonlinear Elliptic and Parabolic Problems by : John Lewis
Download or read book Regularity Estimates for Nonlinear Elliptic and Parabolic Problems written by John Lewis. This book was released on 2012-03-02. Available in PDF, EPUB and Kindle. Book excerpt: The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions. Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.
Author : J. P. Gossez
Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 077/5 ( reviews)
Book Synopsis Nonlinear Elliptic Partial Differential Equations by : J. P. Gossez
Download or read book Nonlinear Elliptic Partial Differential Equations written by J. P. Gossez. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers on semi-linear and quasi-linear elliptic equations from the workshop on Nonlinear Elliptic Partial Differential Equations, in honor of Jean-Pierre Gossez's 65th birthday, held September 2-4, 2009 at the Universite Libre de Bruxelles, Belgium. The workshop reflected Gossez's contributions in nonlinear elliptic PDEs and provided an opening to new directions in this very active research area. Presentations covered recent progress in Gossez's favorite topics, namely various problems related to the $p$-Laplacian operator, the antimaximum principle, the Fucik Spectrum, and other related subjects. This volume will be of principle interest to researchers in nonlinear analysis, especially in partial differential equations of elliptic type.
