Partial Differential and Integral Equations

Inbunden, Engelska, 1998

AvHeinrich Begehr,R.P. Gilbert,Wen-Chung Guo,R. P. Gilbert

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Recent results on partial differential equations and complex analytic methods on singular integral equations are presented here with related subjects. 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. This book is aimed at specialists in partial differential equations and related topics. Those with an interest in real and complex methods and in applications to mathematical physics should also find this book useful.

Produktinformation

Utgivningsdatum1998-12-31
Mått155 x 235 x 26 mm
Vikt746 g
FormatInbunden
SpråkEngelska
SerieInternational Society for Analysis, Applications and Computation
Antal sidor384
Upplaga1999
FörlagKluwer Academic Publishers
ISBN9780792354826

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Beräkning och matematisk analys inom Naturvetenskap och teknik

1 Gauss-Manin Connexion of Curve Singularities.- 2 Group Convolution Operators on Step of Two Nilpotent Lie Groups.- 3 Some Boundary Value Problems for Second Order Overdetermined Elliptic Systems in the Unit Ball of ?n.- 4 Riemann-Hilbert Boundary Value Problems in ?n.- 5 The Riemann-Hilbert Problem for Nonlinear Elliptic Complex Equations of First Order in Multiply Connected Infinite Domains.- 6 The Riemann-Hilbert Problem for First Order Complex Equations of Mixed Type.- 7 On Totally Real Non-Compact Manifolds Globally Foliated by Analytic Discs.- 8 Boundary Behaviour of Vector-Valued Functions of Two Classes in Locally Convex Spaces.- 9 On Singular Integrals of the Time-Harmonic Maxwell Equations Theory.- 10 Systems of First Order Partial Differential Equations — a Hypercomplex Approach.- 11 To Elliptic Theory for Domains with Piecewise Smooth Boundary in the Plane.- 12 Boundary Value Problems for a System of First Order Equations of a Principal Type in the Plane.- 13 The Stabilityof the Riemann Boundary Value Problem for Vector-Valued M-Analytic Functions.- 14 A Class of Inverse Hilbert Boundary Value Problems.- 15 Cauchy Formula, Integral of Cauchy Type and Hilbert Problem for Bianalytic Functions.- 16 On Uniqueness Conditions for Entire Polyharmonic Functions.- 17 Bi-Analytic Functions and Their Applications in Elasticity.- 18 Effect of Periodic Gasket on a Periodic Contact Problem.- 19 Singular Integral Operators and Singular Quadrature Operators for Singular Integral Equations with Hilbert Kernel.- 20 Some Co-Circular Crack Problems with Cyclic Symmetry.- 21 The Oblique Derivative Problem for Nonlinear Parabolic Equations of Second Order with Measurable Coefficients in a Higher Dimensional Domain.- 22 Existence and Uniqueness for Boundary Value Contact Problems.- 23 Weakly Hyperbolic Equations — a Modern Field in the Theory of Hyperbolic Equations.- 24 Eigenvalue Problems for Elliptic Type Partial Differential Operators with Spectral Parameter Contained Linearly in Boundary Conditions.- 25 On Indefinite Nonlinear Neumann Problems.- 26 Higher Order Ordinary Differential Equations with Super-Singular Points.- 27 Applications of Methods of Integrals and Function Theory to Statistics.