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Partial Differential and Integral Equations : International Society for Analysis, Applications and Computation - H. Begehr

Partial Differential and Integral Equations

International Society for Analysis, Applications and Computation

By: H. Begehr (Editor), Robert P. Gilbert (Editor), Wen-Chung Guo (Editor)

Hardcover Published: 31st December 1998
ISBN: 9780792354826
Number Of Pages: 384

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This volume of the Proceedings of the congress ISAAC '97 collects the conĀ­ tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic analĀ­ ysis are studied which are applied to the time-harmonic Maxwell equations.

Preface
Gauss-Manin Connexion of Curve Singularitiesp. 1
Group Convolution Operators on Step of Two Nilpotent Lie Groupsp. 23
Some Boundary Value Problems for Second Order Overdetermined Elliptic Systems in the Unit Ball of C[superscript n]p. 37
Riemann-Hilbert Boundary Value Problems in C[superscript n]p. 59
The Riemann-Hilbert Problem for Nonlinear Elliptic Complex Equations of First Order in Multiply Connected Infinite Domainsp. 85
The Riemann-Hilbert Problem for First Order Complex Equations of Mixed Typep. 97
On Totally Real Non-Compact Manifolds Globally Foliated by Analytic Discsp. 107
Boundary Behaviour of Vector-Valued Functions of Two Classes in Locally Convex Spacesp. 125
On Singular Integrals of the Time-Harmonic Maxwell Equations Theoryp. 135
Systems of First Order Partial Differential Equations - a Hypercomplex Approachp. 155
To Elliptic Theory for Domains with Piecewise Smooth Boundary in the Planep. 177
Boundary Value Problems for a System of First Order Equations of a Principal Type in the Planep. 187
The Stability of the Riemann Boundary Value Problem for Vector-Valued M-Analytic Functionsp. 193
A Class of Inverse Hilbert Boundary Value Problemsp. 207
Cauchy Formula, Integral of Cauchy Type and Hilbert Problem for Bianalytic Functionsp. 211
On Uniqueness Conditions for Entire Polyharmonic Functionsp. 219
Bi-Analytic Functions and Their Applications in Elasticityp. 233
Effect of Periodic Gasket on a Periodic Contact Problemp. 249
Singular Integral Operators and Singular Quadrature Operators for Singular Integral Equations with Hilbert Kernelp. 255
Some Co-Circular Crack Problems with Cyclic Symmetryp. 267
The Oblique Derivative Problem for Nonlinear Parabolic Equations of Second Order with Measurable Coefficients in a Higher Dimensional Domainp. 277
Existence and Uniqueness for Boundary Value Contact Problemsp. 287
Weakly Hyperbolic Equations - a Modern Field in the Theory of Hyperbolic Equationsp. 303
Eigenvalue Problems for Elliptic Type Partial Differential Operators with Spectral Parameter Contained Linearly in Boundary Conditionsp. 319
On Indefinite Nonlinear Neumann Problemsp. 335
Higher Order Ordinary Differential Equations with Super-Singular Pointsp. 347
Applications of Methods of Integrals and Function Theory to Statisticsp. 359
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792354826
ISBN-10: 0792354826
Series: International Society for Analysis, Applications and Computation : Book 2
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 384
Published: 31st December 1998
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.59