Elliptic boundary value problems of second order in piecewise smooth domains Mikhail Borsuk and Vladimir Kondratiev

Includes bibliographical references and index.

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