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Partial Regularity For Harmonic Maps And Related Problems

are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem. The topics covered;

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Analysis Of Harmonic Maps And Their Heat Flows, The

This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book;

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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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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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Topics in Modern Regularity Theory

This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems;

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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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Elliptic Boundary Value Problems with Fractional Regularity Data

clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations;

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Advances in Harmonic Analysis and Partial Differential Equations

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Partial Differential Equations, held from April 21;

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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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The Navier-Stokes Problem in the 21st Century

classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical;

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The Navier-Stokes Problem in the 21st Century

results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to;

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Partial Differential Equations III

of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion;

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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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Analytic Semigroups and Optimal Regularity in Parabolic Problems

studied in this book, and yield new and old regularity results for parabolic partial differential equations and systems. (Mathematical Reviews;

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

in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence;

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Mathematical Analysis of the Navier-Stokes Equations

maximal Lp-regularity theory for a large, abstract class of quasi-linear evolution problems with applications to Navier-Stokes equations and other;

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Landau-lifshitz Equations

harmonic map heat flows, partial regularity and long time behaviors.The book is a valuable reference book for those who are interested in partial;

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Modern Methods in Partial Differential Equations

literature on partial differential equations. Author Martin Schechter chose subjects that will motivate students and introduce them to;

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Nonlinear Partial Differential Equations in Geometry and Physics

of critical configurations and the dynamics of the corresponding evolution problems is important for the development of physical theories and their;

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Geometric Measure Theory and Free Boundary Problems

for Bernoulli type free boundary problems and water waves as well as regularity theory for the obstacle problems and the developments leading;

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Mixed Type Partial Differential Equations, Lecture Notes On

classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one;

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Emerging Problems in the Homogenization of Partial Differential Equations

regularity data involving renormalized solutions, eigenvalue problems for complicated shapes of the domain, homogenization of partial differential;

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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and;

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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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The Hodge-Laplacian

-Kenig-Toro domains. Lying at the intersection of partial differential equations, harmonic analysis, and differential geometry, this text;

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