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Probabilistic methods of investigating interior smoothness of harmonic functions associated with degenerate elliptic operators

smoothness of harmonic functions associated with degenerate elliptic equations. Recent progress in the case of constant coefficients is discussed;

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Cambridge Studies in Advanced Mathematics

In this book, Professor Pinsky gives a self-contained account of the theory of positive harmonic functions for second order elliptic;

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Cambridge Studies in Advanced Mathematics

In this book, Professor Pinsky gives a self-contained account of the theory of positive harmonic functions for second order elliptic;

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Degenerate Diffusion Operators Arising In Population Biology

This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with;

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Degenerate Diffusion Operators Arising in Population Biology (AM-185)

This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with;

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Elliptic Quantum Groups

This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the Yang-Baxter equation. Based;

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The Hodge-Laplacian

Geometric Concepts and Tools Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains Harmonic Layer Potentials;

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Global Carleman Estimates for Degenerate Parabolic Operators with Applications

Degenerate parabolic operators have received increasing attention in recent years because they are associated with both important;

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Degenerate Differential Equations in Banach Spaces

This work presents a detailed study of linear abstract degenerate differential equations, using both;...

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Approximation Theory

We study in Part I of this monograph the computational aspect of almost all moduli of continuity ove;...

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Generalized Harmonic Analysis and Wavelet Packets

The book presents a more comprehensive treatment of transmutation operators associated with the Bessel operator, and explores many of their;

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Generalized Associated Legendre Functions And Their Applications

functions.This book deals with the theory and applications of generalized associated Legendre functions of the first and the second kind, Pm,n (z) and Qm;

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Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130

The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several;

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Mesh Enhancement

unstructured meshes associated with computational physics applications. Mesh enhancement is the process in which an existing mesh is modified to better;

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Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations

This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or;

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Harmonic Maass Forms and Mock Modular Forms

and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical;

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Isolated Singularities

In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential;

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

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions;

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Boundary Value Problems for Elliptic Systems

with the principal symbols of the elliptic and boundary operators on the boundary. This book is ideal for use in graduate-level courses on;

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Boundary Value Problems for Elliptic Systems

with the principal symbols of the elliptic and boundary operators on the boundary. This book is ideal for use in graduate-level courses on;

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Pseudodifferential Operators and Wavelets over Real and p adic Fields

graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential;

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Seminar on Micro-Local Analysis. (AM-93), Volume 93

and clearly to mathematicians with an analytical background. The papers treat the theory of microfunctions and applications such as boundary;

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

elliptic problems in one dimension and in higher dimensions. Part II presents the time-dependent parabolic problems-without and with convection;

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Complex Analysis

integral theorem general versions of Runge's approximation theorem and Mittag-Leffler's theorem are discussed. The fi rst part ends with an;

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Convolution-like Structures, Differential Operators and Diffusion Processes

T his book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well;

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Regularized Semigroups and Non-Elliptic Differential Operators

give the applications of regularized semigroups to non-elliptic differential operators with constant coefficients of time-dependent;

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Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms

composition of Calderon-Zygmund operators with different homogeneities, such as operators occuring in sub-elliptic problems and those arising;

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