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Topics in Modern Regularity Theory

and extensive introductions to various aspects of modern Regularity Theory concerning: mathematical modelling of thin films and related free;

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Elliptic Regularity Theory: A First Course

These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After;

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A Hyper graph Regularity Method for Linear Hypergraphs

Szemeredi's Regularity Lemma is a powerful tool in Graph Theory, yielding many applications in areas such as Extremal Graph Theory;

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Sets Finite Perimeter & Geometric Variat

from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and;

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Lecture Notes On Regularity Theory For The Navier-stokes Equations

of the Navier-Stokes equations as well as the modern regularity theory for them. The latter is developed by means of the classical PDE's theory;

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Partial Regularity For Harmonic Maps And Related Problems

Landau-Lifshitz (or Landau-Lifshitz-Gilbert) equation. Since the methods in regularity theory of harmonic maps are quite subtle, it is not;

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Modern Graph Theory

interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including;

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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)

with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents;

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Regularity Results for Nonlinear Elliptic Systems and Applications

This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential;

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Modern Methods in Partial Differential Equations

graduate students of mathematics. Requiring only some familiarity with advanced calculus and rudimentary complex function theory, it covered;

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Partial Differential Equations and Complex Analysis

Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the;

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Partial Differential Equations and Complex Analysis

Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the;

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Beyond Sobolev and Besov

Morrey spaces. The book is aimed at researchers and graduate students working in regularity theory of PDEs and function spaces, who are;

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Stable Solutions of Elliptic Partial Differential Equations

through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional;

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Stable Solutions of Elliptic Partial Differential Equations

through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional;

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Theory Of The Navier-stokes Equations

This volume collects the articles presented at the Third International Conference on The Navier-Stokes Equations: Theory and Numerical;

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Mathematical Analysis in Fluid Mechanics

of Regularity, held from May 8-12, 2017, in Luminy, Marseille, France. The papers cover topics in mathematical fluid mechanics ranging from the;

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Fractional Differential Equations

This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It;

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Harmonic Maps, Conservation Laws and Moving Frames

developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry;

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Brakke s Mean Curvature Flow

This book explains the notion of Brakke's mean curvature flow and its existence and regularity theories without assuming familiarity with;

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Stability of Nonautonomous Differential Equations

and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential;

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Nonlinear Optimization

programming, metric regularity and stability theory of set-constrained systems, and sensitivity analysis of optimization problems. Based on a decade's;

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The Secret Connexion

It is widely supposed that David Hume invented and espoused the "regularity" theory of causation, holding that causal relations are nothing;

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Local Times and Excursion Theory for Brownian Motion

This monograph discusses the existence and regularity properties of local times associated to a continuous semimartingale, as well as;

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Regularity of Optimal Transport Maps and Applications

In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two;

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Direct Methods In The Calculus Of Variations

This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations;

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Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection

Benedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion;

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