Search results for ‘Dorina Mitrea,Irina Mitrea,Marius Mitrea,Michael Taylor’

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      Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces

      Dorina Mitrea,Irina Mitrea,Marius Mitrea

      This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of…

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      Geometric Harmonic Analysis II: Function Spaces Measuring Size and Smoothness on Rough Sets

      Dorina Mitrea,Irina Mitrea,Marius Mitrea

      This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable…

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      Cover image for The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds
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      The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds

      Dorina Mitrea,Irina Mitrea,Marius Mitrea,Michael Taylor

      The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators. A new generation of Calderon-Zygmund theory is…

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      Cover image for Multi-Layer Potentials and Boundary Problems: for Higher-Order Elliptic Systems in Lipschitz Domains
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      Multi-Layer Potentials and Boundary Problems: for Higher-Order Elliptic Systems in Lipschitz Domains

      Irina Mitrea,Marius Mitrea

      Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. This book includes boundary…

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      Cover image for Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
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      Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

      Dorina Mitrea,Irina Mitrea,Marius Mitrea,Sylvie Monniaux

      The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric…

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      Singular Integral Operators, Quantitative Flatness, and Boundary Problems

      Juan Jose Marin,Jose Maria Martell,Dorina Mitrea,Irina Mitrea,Marius Mitrea

      This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a…

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