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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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Harmonic Analysis and Boundary Value Problems in the Complex Domain

had, in particular, one char- acteristic feature, consisting in the interfusion of some concepts and methods of harmonic and complex analyses. That;

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Elliptic Boundary Value Problems with Fractional Regularity Data

In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the;

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Introduction to the Finite Element Method in Electromagnetics

. The geometrical domain of a boundary-value problem is discretized using sub-domain elements, called the finite elements, and the differential;

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Complex Analysis and Applications

application to Dirichlet and Neumann boundary value problems. A discussion of complex analysis now forms the first three chapters of the book, with;

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Advances in Harmonic Analysis and Partial Differential Equations

, complex, and harmonic analysis, partial differential equations, and their applications. The topics covered belong to the general areas of the;

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Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types

considers both boundary value conditions in the general oblique derivative case and multiply connected domains. Complex analytical methods are used;

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Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types

considers both boundary value conditions in the general oblique derivative case and multiply connected domains. Complex analytical methods are used;

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Boundary Integral Equations

problems. The central idea of eliminating the ?eld equations in the domain and - ducing boundary value problems to equivalent equations only on the;

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Clifford Algebras in Analysis and Related Topics

open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing;

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Clifford Algebras in Analysis and Related Topics

open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing;

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Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

This book considers dynamic boundary value problems in domains with singularities of two types. The first type consists of edges;

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Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

This book considers dynamic boundary value problems in domains with singularities of two types. The first type consists of edges;

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Multidimensional Integral Representations

multidimensional boundary analogs of the Morera theorem. This book is a valuable resource for specialists in complex analysis, theoretical physics, as well;

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Mathematics for the Physical Sciences

and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental;

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Numerical Solution of Nonlinear Boundary Value Problems with Applications

A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text;

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Noncommutative Harmonic Analysis

harmonic analysis and partial differential equations. The author considers many classical PDEs, particularly boundary value problems for domains;

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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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Integral Equations, Boundary Value Problems And Related Problems

In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial;

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Modeling and Analysis of Transient Processes in Open Resonant Structures

. The initial boundary value problems considered describe the transient electromagnetic fields formed by open periodic, compact, and waveguide;

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Function Theory of Several Complex Variables

background in real and complex variable theory, harmonic analysis, and differential equations will be most comfortable with this treatment.;

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Harmonic Analysis on Classical Groups

harmonic analysis of various groups. Starting with the discussion on unitary groups in part 1, the author moves on to rotation groups and unitary;

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Modern Problems in Applied Analysis

equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various;

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Wave Propagation Analysis with Boundary Element Method

conditions vanish and the data are given only on the boundary of a domain independent of time. In this situation the transformation of the;

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Topics in Clifford Analysis: Special Volume in Honor of Wolfgang Sprößig

Sproessig's work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford;

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Maxwell's Equations

This volume collects longer articles on the analysis and numerics of Maxwell's equations. The topics include functional analytic and;

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Difference Methods for Singular Perturbation Problems

in numerical methods. The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection;

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