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Free Boundary Problems in PDEs and Particle Systems

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Cover of 'Free Boundary Problems in PDEs and Particle Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Introduction to Part I
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    Chapter 3 The Basic Model, Definitions and Results
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    Chapter 4 Regularity Properties of the Barriers
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    Chapter 5 Lipschitz and \(L^1\) Estimates
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    Chapter 6 Mass Transport Inequalities
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    Chapter 7 The Limit Theorems on Barriers
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    Chapter 8 Brownian Motion and the Heat Equation
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    Chapter 9 Existence of Optimal Sequences
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    Chapter 10 Proof of the Main Theorem
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    Chapter 11 The Basic Particle Model and Its Hydrodynamic Limit
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    Chapter 12 Introduction to Part II
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    Chapter 13 Independent Walkers with Current Reservoirs
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    Chapter 14 Beyond Diffusive Scaling
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    Chapter 15 Other Models
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  • Above-average Attention Score compared to outputs of the same age and source (57th percentile)

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