Notes On Tug Of War Games And The P Laplace Equation

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Notes On Tug Of War Games And The P Laplace Equation

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Author : Mikko Parviainen
language : en
Publisher: Springer Nature
Release Date : 2024-02-22

Notes On Tug Of War Games And The P Laplace Equation written by Mikko Parviainen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-22 with Mathematics categories.

This book addresses the interplay between stochastic processes and partial differential equations. More specifically, it focuses on the connection between the nonlinear p-Laplace equation and the stochastic game called tug-of-war with noise. The connection in this context was discovered approximately 15 years ago and has since provided new insights and approaches. These lecture notes provide a brief but detailed and accessible introduction to the subject and to the more research-oriented literature. The book also presents the parabolic case side by side with the elliptic case, highlighting the fact that elliptic and parabolic equations are close in spirit in certain aspects. Moreover, it covers some parts of the regularity theory for these problems. Graduate students and advanced undergraduate students with a basic understanding of probability and partial differential equations will find this book useful.

Notes On Tug Of War Games And The P Laplace Equation

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Author : Mikko Parviainen
language : en
Publisher:
Release Date : 2024

Notes On Tug Of War Games And The P Laplace Equation written by Mikko Parviainen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Differential equations categories.

This book addresses the interplay between stochastic processes and partial differential equations. More specifically, it focuses on the connection between the nonlinear p-Laplace equation and the stochastic game called tug-of-war with noise. The connection in this context was discovered approximately 15 years ago and has since provided new insights and approaches. These lecture notes provide a brief but detailed and accessible introduction to the subject and to the more research-oriented literature. The book also presents the parabolic case side by side with the elliptic case, highlighting the fact that elliptic and parabolic equations are close in spirit in certain aspects. Moreover, it covers some parts of the regularity theory for these problems. Graduate students and advanced undergraduate students with a basic understanding of probability and partial differential equations will find this book useful.

Notes On The Infinity Laplace Equation

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Author : Peter Lindqvist
language : en
Publisher: Springer
Release Date : 2016-05-25

Notes On The Infinity Laplace Equation written by Peter Lindqvist and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-25 with Mathematics categories.

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.

Active Particles Volume 4

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Author : José Antonio Carrillo
language : en
Publisher: Springer Nature
Release Date : 2024-12-12

Active Particles Volume 4 written by José Antonio Carrillo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-12 with Mathematics categories.

This edited volume collects nine surveys that present the state-of-the-art in modeling, qualitative analysis, and simulation of active particles, focusing on specific applications in the natural sciences. As in the preceding Active Particles volumes, it blends diverse applications that demonstrate the interdisciplinary nature of the subject and the various mathematical tools available. Contributions were selected with the aim of covering a variety of viewpoints, from modeling the interactions in collective dynamics of animals and in population dynamics; through neural-networks, semi-supervised learning, and Monte Carlo methods in optimization; to kinetic and continuum theories with applications to aggregations and birth-and-death processes. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

A Course On Tug Of War Games With Random Noise

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Author : Marta Lewicka
language : en
Publisher: Springer Nature
Release Date : 2020-06-19

A Course On Tug Of War Games With Random Noise written by Marta Lewicka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-19 with Mathematics categories.

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.

Computational Methods For Inverse Problems And Applications

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Author : Amine Laghrib
language : en
Publisher: Springer Nature
Release Date : 2025-07-24

Computational Methods For Inverse Problems And Applications written by Amine Laghrib and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-24 with Mathematics categories.

This book highlights recent trends in inverse problems and their integration with computer science, a field rapidly evolving yet underexplored mathematically. ICMDS 2024 aims to unite scientists to explore the latest in mathematics and its applications across various scientific disciplines. Key topics include inverse problems, partial differential equations, mathematical control, numerical analysis, and computer science. Our goal is to provide substantial mathematical insights and practical applications to bridge this gap. With its growing significance in media and industry, this event promises to attract a diverse audience and foster collaboration across scientific domains. The main contribution of this book is to give some sufficient mathematical content with expressive results and accurate applications. As a growing field, it is gaining a lot of attention both in media as well as in the industry world, which will attract the interest of readers from different scientist discipline.

Regularity Estimates For Nonlinear Elliptic And Parabolic Problems

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Author : John Lewis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-02

Regularity Estimates For Nonlinear Elliptic And Parabolic Problems written by John Lewis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-02 with Mathematics categories.

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.

Nonlinear Elliptic Partial Differential Equations

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Author : J. P. Gossez
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Nonlinear Elliptic Partial Differential Equations written by J. P. Gossez and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

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.

Advanced Courses Of Mathematical Analysis V Proceedings Of The Fifth International School

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Author : Juan Carlos Navarro Pascual
language : en
Publisher: World Scientific
Release Date : 2016-06-24

Advanced Courses Of Mathematical Analysis V Proceedings Of The Fifth International School written by Juan Carlos Navarro Pascual and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-24 with Mathematics categories.

This volume contains recent papers by several specialists in different fields of mathematical analysis. It offers a reasonably wide perspective of the current state of research, and new trends, in areas related to measure theory, harmonic analysis, non-associative structures in functional analysis and summability in locally convex spaces.Those interested in researching any areas of mathematical analysis will find here numerous suggestions on possible topics with an important impact today. Often, the contributions are presented in an expository nature and this makes the discussed topics accessible to a more general audience.

Notes On The P Laplace Equation

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Author : Peter Lindqvist
language : fi
Publisher:
Release Date : 2006

Notes On The P Laplace Equation written by Peter Lindqvist and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differential equations, Elliptic categories.