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Topics In Modern Regularity Theory


Topics In Modern Regularity Theory
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Contemporary Research In Elliptic Pdes And Related Topics


Contemporary Research In Elliptic Pdes And Related Topics
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Author : Serena Dipierro
language : en
Publisher: Springer
Release Date : 2019-07-12

Contemporary Research In Elliptic Pdes And Related Topics written by Serena Dipierro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-12 with Mathematics categories.


This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully nonlinear equations, nonlinear parabolic equations, overdetermined boundary value problems, maximum principles, geometric analysis, control theory, mean field games, and bio-mathematics. The authors are trailblazers in these topics and present their work in a way that is exhaustive and clearly accessible to PhD students and early career researcher. As such, the book offers an excellent introduction to a variety of fundamental topics of contemporary investigation and inspires novel and high-quality research.



Topics In Modern Regularity Theory


Topics In Modern Regularity Theory
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Author : Giuseppe Mingione
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-26

Topics In Modern Regularity Theory written by Giuseppe Mingione 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 2012-04-26 with Mathematics categories.


This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010. The contributors, Nicola Fusco, Tristan Rivière and Reiner Schätzle, provide three updated and extensive introductions to various aspects of modern Regularity Theory concerning: mathematical modelling of thin films and related free discontinuity problems, analysis of conformally invariant variational problems via conservation laws, and the analysis of the Willmore functional. Each contribution begins with a very comprehensive introduction, and is aimed to take the reader from the introductory aspects of the subject to the most recent developments of the theory.



Geometric And Functional Inequalities And Recent Topics In Nonlinear Pdes


Geometric And Functional Inequalities And Recent Topics In Nonlinear Pdes
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Author : Emanuel Indrei
language : en
Publisher: American Mathematical Society
Release Date : 2023-01-09

Geometric And Functional Inequalities And Recent Topics In Nonlinear Pdes written by Emanuel Indrei and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-09 with Mathematics categories.


This volume contains the proceedings of the virtual conference on Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs, held from February 28–March 1, 2021, and hosted by Purdue University, West Lafayette, IN. The mathematical content of this volume is at the intersection of viscosity theory, Fourier analysis, mass transport theory, fractional elliptic theory, and geometric analysis. The reader will encounter, among others, the following topics: the principal-agent problem; Maxwell's equations; Liouville-type theorems for fully nonlinear elliptic equations; a doubly monotone flow for constant width bodies; and the edge dislocations problem for crystals that describes the equilibrium configurations by a nonlocal fractional Laplacian equation.



Free Discontinuity Problems


Free Discontinuity Problems
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Author : Nicola Fusco
language : en
Publisher: Springer
Release Date : 2017-02-02

Free Discontinuity Problems written by Nicola Fusco and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-02 with Mathematics categories.


This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in dyblock copolymers.



Topics In Contemporary Mathematical Analysis And Applications


Topics In Contemporary Mathematical Analysis And Applications
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Author : Hemen Dutta
language : en
Publisher: CRC Press
Release Date : 2020-12-22

Topics In Contemporary Mathematical Analysis And Applications written by Hemen Dutta and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-22 with Mathematics categories.


Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related problems and issues, methods of solutions, and their possible applications or relevancies in other scientific areas. Aims at enriching the understanding of methods, problems, and applications Offers an understanding of research problems by presenting the necessary developments in reasonable details Discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems This book is written for individual researchers, educators, students, and department libraries.



Configuration Spaces


Configuration Spaces
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Author : Anders Björner
language : en
Publisher: Springer
Release Date : 2013-12-18

Configuration Spaces written by Anders Björner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-18 with Mathematics categories.


These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians.



Resurgence Physics And Numbers


Resurgence Physics And Numbers
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Author : Frédéric Fauvet
language : en
Publisher: Springer
Release Date : 2017-11-17

Resurgence Physics And Numbers written by Frédéric Fauvet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Science categories.


This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years – a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues.



Geometric Partial Differential Equations


Geometric Partial Differential Equations
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Author : Antonin Chambolle
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-17

Geometric Partial Differential Equations written by Antonin Chambolle 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 2014-01-17 with Mathematics categories.


This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Particular attention was paid to self-similar solutions, such as solitons and travelling waves, asymptotic behaviour, formation of singularities and qualitative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and have attracted a lot of attention in recent years.



Geometry Structure And Randomness In Combinatorics


Geometry Structure And Randomness In Combinatorics
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Author : Jiří Matousek
language : en
Publisher: Springer
Release Date : 2015-04-09

Geometry Structure And Randomness In Combinatorics written by Jiří Matousek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-09 with Mathematics categories.


​This book collects some surveys on current trends in discrete mathematics and discrete geometry. The areas covered include: graph representations, structural graphs theory, extremal graph theory, Ramsey theory and constrained satisfaction problems.



Themes In Kant S Metaphysics And Ethics


Themes In Kant S Metaphysics And Ethics
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Author : Arthur Melnick
language : en
Publisher: CUA Press
Release Date : 2004-05

Themes In Kant S Metaphysics And Ethics written by Arthur Melnick and has been published by CUA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05 with Philosophy categories.


Intended for those interested in Kant's contribution to philosophy, this volume provides an overview of Kant's arguments concerning central issues in metaphysics and ethics.