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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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Partial Regularity For Harmonic Maps And Related Problems

The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which;

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Optimal Transport

This book focuses on problems at the interplay between the theory of partitions and optimal transport with a view toward applications;

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Optimal Transport for Applied Mathematicians

understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate;

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Optimal Transport for Applied Mathematicians

understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate;

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Harmonic Maps, Conservation Laws and Moving Frames

of 'exotic' functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The;

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A Hyper graph Regularity Method for Linear Hypergraphs

, Combinatorial Number Theory and Theoretical Computer Science. Strong hypergraph extensions of graph regularity techniques were recently given by Nagle;

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Nonlinear Partial Differential Equations for Future Applications

for stochastic optimal control, two kinds of regularity machineries for elliptic obstacle problems, and new insight on topology of nodal sets;

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Lectures on Optimal Transport

, probability and optimal transport. It originated from the teaching experience of the first author in the Scuola Normale Superiore, where a course on;

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Optimal Transport Methods in Economics

Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics;

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Optimal Transport Methods in Economics

Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics;

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Analytic Semigroups and Optimal Regularity in Parabolic Problems

study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are;

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Sobolev Maps to the Circle

Monge-Kantorovich theory in optimal transport, items in geometric measure theory, Fourier series, and non-local functionals occurring, for;

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Geometric Science of Information

into the following subjects: statistics on non-linear data; shape space; optimal transport and applications: image processing; optimal;

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Control Systems and Mathematical Methods in Economics

Since the days of Lev Pontryagin and his associates, the discipline of Optimal Control has enjoyed a tremendous upswing - not only in terms;

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Fractional Calculus in Analysis, Dynamics & Optimal Control

differential equations and optimal control. The first chapter deals with the notion of local fractional derivatives and its applications to the study;

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Variational Methods

The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls Controllability of Keplerian motion;

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Cambridge Tracts in Mathematics

existence and regularity results which use the potential theory of Riemannian polyhedral domains viewed as Brelot harmonic spaces and geodesic space;

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Elliptic Regularity Theory: A First Course

regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size;

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Introduction To The Theory Of Wave Maps And Related Geometric Problems, An

The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention;

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Elliptic and Parabolic Robin Problems on Lipschitz Domains

The author studies regularity of quasi-linear elliptic and parabolic equations with Robin boundary conditions on Lipschitz domains. He;

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

applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems;

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Solvability Regularity and Optimal Control of Boundary Value Problems for PDEs

for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and;

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Model-free Hedging

, highlighting the differences between the optimal transport and its martingale counterpart. This topic is then discussed in the context of mathematical;

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Model-free Hedging

, highlighting the differences between the optimal transport and its martingale counterpart. This topic is then discussed in the context of mathematical;

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Geometric Science of Information

into the following thematic sessions: Dimension reduction on Riemannian manifolds; optimal transport; optimal transport and applications;

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