Partial Differential and Integral Equations

by Begehr, Heinrich G. W.; Gilbert, Robert P.; Guo, Wen-chung; Wen, Guo Chun

• ISBN13: 9780792354826
• ISBN10: 0792354826
• Format: Hardcover
• Copyright: 1998-12-01
• Publisher: Kluwer Academic Pub

Summary

Recent results on partial differential equations as well as with complex analytic methods on singular integral equations and on related subjects are presented. Many of the contributions are survey articles. Topics ranging from elliptic, parabolic, hyperbolic, and mixed-type equations and systems to hyper-complex and quatern ionic analysis, M-analytic, bianalytic, polyharmonic and functions of several complex variables are covered. Applications to mathematical physics are also included. Audience: Specialists in partial differential equations and related topics, with an interest in real and complex methods and in applications to mathematical physics will find this book very useful.

Table of Contents

Preface	ix
Gauss-Manin Connexion of Curve Singularities	1	(22)
A.G. Alexandrov
Group Convolution Operators on Step of Two Nilpotent Lie Groups	23	(14)
N.I. Vasilevski
Some Boundary Value Problems for Second Order Overdetermined Elliptic Systems in the Unit Ball of Cn	37	(22)
A. Dzhuraev
Riemann-Hilbert Boundary Value Problems in Cn	59	(26)
H. Begehr
The Riemann-Hilbert Problem for Nonlinear Elliptic Complex Equations of First Order in Multiply Connected Infinite Domains	85	(12)
G.-C. Wen
The Riemann-Hilbert Problem for First Order Complex Equations of Mixed Type	97	(10)
G.-C. Wen
On Totally Real Non-Compact Manifolds Globally Foliated by Analytic Discs	107	(18)
E. Wegert
G. Kimchiachvili
I. Spikovsky
Boundary Behaviour of Vector-Valued Functions of Two Classes in Locally Convex Spaces	125	(10)
C.-G. Hu
Y.-H. Wang
On Singular Integrals of the Time-Harmonic Maxwell Equations Theory	135	(20)
R. Rocha-Chavez
M. Shapiro
Systems of First Order Partial Differential Equations--a Hypercomplex Approach	155	(22)
H. Begehr
To Elliptic Theory for Domains with Piecewise Smooth Boundary in the Plane	177	(10)
A.P. Soldatov
Boundary Value Problems for a System of First Order Equations of a Principal Type in the Plane	187	(6)
N. Zhura
The Stability of the Riemann Boundary Value Problem for Vector-Valued M-Analytic Functions	193	(14)
C.-G. Hu
D.-P. Zhang
A Class of Inverse Hilbert Boundary Value Problems	207	(4)
S.Q. Liu
Cauchy Formula, Integral of Cauchy Type and Hilbert Problem for Bianalytic Functions	211	(8)
Z. Zhen
On Uniqueness Conditions for Entire Polyharmonic Functions	219	(14)
M.B. Balk
M.Ya. Mazalov
Bi-Analytic Functions and Their Applications in Elasticity	233	(16)
W. Lin
Y. Zhao
Effect of Periodic Gasket on a Periodic Contact Problem	249	(6)
X. Li
Singular Integral Operators and Singular Quadrature Operators for Singular Integral Equations with Hilbert Kernel	255	(12)
J. Du
Some Co-Circular Crack Problems with Cyclic Symmetry	267	(10)
J. Lu
The Oblique Derivative Problem for Nonlinear Parabolic Equations of Second Order with Measurable Coefficients in a Higher Dimensional Domain	277	(10)
G.-C. Wen
Existence and Uniqueness for Boundary Value Contact Problems	287	(16)
I.V. Andronov
B.P. Belinskiy
Weakly Hyperbolic Equations--a Modern Field in the Theory of Hyperbolic Equations	303	(16)
M. Dreher
M. Reissig
Eigenvalue Problems for Elliptic Type Partial Differential Operators with Spectral Parameter Contained Linearly in Boundary Conditions	319	(16)
B. Belinskiy
On Indefinite Nonlinear Neumann Problems	335	(12)
K. Pflueger
Higher Order Ordinary Differential Equations with Super-Singular Points	347	(12)
N. Rajabov
Applications of Methods of Integrals and Function Theory to Statistics	359
M. Jin
X. Chen
Z. Yu