Progress in Analysis: Proceedings of the 3rd International Isaac Congress, Berlin, Germany, 20-25 August 2001. Volumes I [1st ed.] 9789812385727, 981238572X, 9812389687, 9812389679

Table of contents :
Volume One ......Page 18
Volume Two ......Page 26
Preface......Page 6
Volume I ......Page 4
Some Properties of Spaces with Multiweighted Derivatives......Page 34
Estimates of Regularized Solutions of Equations of Convolution Type in Anisotropic Function Spaces with Noninteger Order of Smoothness......Page 48
The Imbedding Theorems on the Lizorkin-Triebel-Morrey Type Space......Page 56
Weighted Effects of Some Integral Operators and Their Applications......Page 64
Limits Imbedding Theorems on the Anisotropic Sobolev-Bessel Space......Page 70
Sharp Estimates for Integrals Over Small Intervals for Functions Possessing Some Smoothness......Page 78
John Domains and Homogeneous Cone Condition on the Carnot Group......Page 90
Function Space and Ordered Linear Space......Page 96
The Scope of a Functional Calculus Approach to Fractional Differential Equations......Page 102
On Integral Means Inequalities for Generalized Subclasses of Analytic Functions......Page 116
Obtaining the Self-Similar Asymptotics of Solutions to the Navier-Stokes Equations by Power Geometry......Page 126
A Generalized Fourier Transform......Page 136
Bessel-Type Integral Transforms and H-Transforms......Page 148
Applications of the Fourier Transform to Some Resolvent Estimates for the Stokes System......Page 158
Iterates of Differential Operators......Page 168
Two Definitions of Boehmians on the Sphere......Page 176
The Picard Group the Whitehead Link and Jorgensen Groups......Page 182
Construction de la Solution Borne du Second Probleme de Cousin dans le Polydisque de CN (N > 3)......Page 192
Coverings and Convergence Theorems......Page 202
Quasiconformal BMO Homeomorphisms between Riemann Surfaces......Page 210
Notes on Certain Subordinations......Page 216
Bounded Holomorphic Function with Some Boundary Behavior......Page 226
Biholomorphic Mappings and Parametric Representation in Several Complex Variables......Page 232
On Stability of a Class of Convex Functions......Page 240
Division by Inner Functions......Page 248
Avoidance Criteria for Normal Families and Normal Functions......Page 254
A Non-Normal Function Related Qp Spaces and Its Applications......Page 262
Unique Range Sets for Polynomials or Rational Functions......Page 268
Unique Range Sets in Positive Characteristic......Page 280
Integral Norms for Hyperholomorphic Bloch-Functions in the Unit Ball of R3......Page 286
On Bloch-Hardy Pullbacks......Page 296
On the Effectiveness of Basic Sets of Polynomials of Several Complex Variables in Elliptical Regions......Page 298
Uniqueness Problem of Meromorphic Mappings on Analytic Covering Spaces......Page 312
On the Deficiency of Holomorphic Curves with Maximal Deficiency Sum, II......Page 320
On Growth and Domains of Holomorphy of Generating Functions of Polya Frequency Sequences......Page 334
A Note on Factorization of the Weierstrass PE-Function......Page 338
The Space of Monogenic BMO-Functions and a John-Nirenberg Inequality......Page 340
A Complete System of Homogeneous Monogenic Polynomials and Their Derivatives......Page 350
Complete Function Systems and Decomposition Results Arising in Clifford Analysis......Page 358
K-Hypermonogenic Functions......Page 370
Commutative Algebras in Clifford Analysis......Page 382
Quaternionic Equation for Electromagnetic Fields in Inhomogeneous Media......Page 394
Construction of a Right Inverse Operator to the Discrete Cauchy-Riemann Operator......Page 400
On Boundary Properties of α-Hyperholomorphic Functions in Domains of R2 with Piece-Wise Liapunov Boundary......Page 408
Clifford Analysis on Super Space II......Page 416
Spacetime Algebras and Twistor Theory......Page 440
From Pure Spinors to Fermion's - Physics......Page 446
An Explicit Construction of Real Pre-Hurwitz Algebras......Page 460
Integral Formula and Its Applications to the [omitted] Problem and the Extension Problem......Page 470
Removable Singularities for Analytic Functions in Hardy Spaces BMO and Locally Lipschitz Spaces......Page 478
Weighted Sobolev Spaces and Quasielliptic Operators in RN......Page 484
Nonorientable Compactifications of Riemann Surfaces......Page 494
Contour-Solid Theorem for Meromorphic Functions Taking Multivalence Into Account......Page 502
Geometric Optics and Convex Functions in the Boundary Control of the Wave Equation......Page 510
Carleman Estimates Optimal Three Cylinder Inequalities and Unique Continuation Properties for Parabolic Operators......Page 518
The Use of Geometric Tools in the Boundary Control of Partial Differential Equations......Page 526
Point Transformations and Painleve Equations......Page 532
A Noncommutative Differential Geometric Method to Fractal Geometry (I) (Representations of Cuntz Algebras of Hausdorff Type on Self Similar Fractal Sets)......Page 542
Effects of Different Nonlinear Parametric Resonant Perturbations on Suppression of Chaos......Page 552
Limit Cycle Bifurcations in Polynomial Models of Dynamical Systems......Page 558
Lower Estimates of the Topological Entropy for Dynamical Systems on Riemannian Manifolds......Page 568
Inertial Manifolds for Nonautonomous Evolution Equations......Page 578
On Fixed Points and Chaotic Limit Sets......Page 588
Quadratically Convergent Initial Values to a Double Root in Newton's Method of Two Variables......Page 596
Computing Specific Isolating Neighborhoods......Page 604
Spectral Gaps for Periodic Elliptic Operators with High Contrast: An Overview......Page 610
Shallow Potential Wells for the Schrodinger Equation and Water Waves......Page 622
On Attractor of a Singular Nonlinear U(1)-Invariant Klein-Gordon Equation......Page 632
Limit Behaviour of the Exterior Resolvent for Vanishing Obstacles......Page 646
Degenerate Elliptic Mixed Boundary Value Problems: Positive Solutions Principal Eigenvalue Green Function and Criticality Theory......Page 656
On Convergence to the Equilibrium Distribution. Harmonic Crystal with Mixing......Page 668
An Asymptotic Model for Wave Propagation in Thin High Contrast 2D Acoustic Media......Page 680
Spectral Properties of Certain Differential Operators in Uniform Waveguides......Page 684
Anti-Wick Quantization of Tempered Distributions......Page 688
Localization Operators on the Affine Group and Paracommutators......Page 696
New Methods in Wavelet-Based Image Denoising......Page 704
Pseudodifferential Operators and Spaces of Type S......Page 714
A Class of Lp Bounded Pseudodifferential Operators......Page 722
Anomalous Singularities of the Solutions to Several Classes of Weakly Hyperbolic Semilinear Systems. Examples......Page 730
Volume Two ......Page 740
Logarithmic Connections along a Free Divisor......Page 770
Weighted Composition Operators which Induces a Generalization of the Schroder Equation......Page 782
The Riemann-Hilbert-Poincare Problem for Holomorphic Functions in Polydiscs......Page 786
On Hitotumatu's System......Page 794
Bergman Function and Dirichlet Problem in Clifford Analysis......Page 802
Haseman Boundary Value Problems for Bianalytic Functions......Page 812
On the Mixed Problem for Laplace Equation Outside Cuts Placed along a Circumference in a Plane......Page 818
Some Boundary Value Problems of the Theory of Analytic Functions on a Cut Plane......Page 828
Constructive Methods for Boundary Value Problems for Analytic Functions......Page 834
On Elliptic Boundary Value Problems in the Plane......Page 844
Some Problems for Complex Differential Equations of Fuchsian Type......Page 850
Lines of Catastrophe: Problems Examples of Solutions Connections with Nevanlinna Theory and Gamma-Lines......Page 856
On the Region for Convergence of Trigonometric Interpolation for Analytic Functions......Page 866
Orthogonal Decomposition in Domains Possessing a Green's Function......Page 872
On the Spectrum of the Operator Curl......Page 876
The Initial Boundary Value Problem for one Non-Classical System of Equations of Second Order......Page 884
Support Sets and Support Functionals and Their Applications to C*-Algebra......Page 888
Two-Parametric Quantization of Lie Bialgebras of the BN Type......Page 892
Star Products and Integrability......Page 902
Some Results about Pairs of Equations in Rings with Factorization Pairs......Page 916
About One Matrix Equation with Projectors and Problems of Mechanics......Page 922
A Remark on a Theorem by Hormander......Page 926
Overdetermined Problems in Annular Domains......Page 936
On Stationary Hot Spots and Isothermic Surfaces......Page 942
On Explicit Radial Entire and Non-Entire Solutions......Page 948
Generalized Mean Value Property for Caloric Functions......Page 956
Asymptotics of Impedance in Complex Frequency Domain and Inverse Problem of the Theory of Ground Penetrating Radars......Page 962
III Posedness for the 2-D Wave Map Equation......Page 978
Asymptotic Behaviour of Solutions for the Nonlinear Dissipative Wave Equation......Page 998
A Pointwise Oscillation Property of a Semilinear Wave Equation with a Locally Odd and Increasing Semilinear Term......Page 1006
Periodic Solutions of Nonlinear 3D Wave Equations in Sphere-Symmetric Domain with Periodically Oscillating Boundaries......Page 1012
Estimates of Solutions to One-Dimensional Schrodinger Equation......Page 1020
Global Smooth Solutions for Some Linear and Nonlinear Evolution Equations......Page 1026
Global Smoothing Properties of Dispersive Equations with Constant Coefficients......Page 1036
Microlocal Smoothing Effect for Schrodinger Equations in Gevrey Spaces......Page 1042
Remarks on a Quasi-Linear Hyperbolic Mixed Problem......Page 1052
On Some Decay Estimates of Solutions for Some Nonlinear Degenerate Diffusion Equations......Page 1060
Hamilton Flows and Nonlinear Hyperbolic Equations of First Order......Page 1070
Cauchy Problem in Inhomogeneous Gevrey Classes......Page 1080
A General Approach to the Nonlinear Hyperbolic Cauchy Problem with Constant Multiplicity......Page 1088
Hyperbolic Equations with Non-Absolutely Continuous Coefficients......Page 1102
Necessary Conditions for Hyperbolic Systems......Page 1110
Non-Solvability for an Operator with Multiple Complex Characteristics......Page 1122
The Navier-Stokes Flows Changing to Non-Newtonian Flows......Page 1132
Uniformly Diagonalizable Real Systems Reduced Dimension and Symmetry......Page 1138
The Convergence of the Feynman Path Integrals in the Weighted Sobolev Spaces and Its Application......Page 1146
The Hyperbolic Free Boundary Problem Arising in Film Peeling Phenomena......Page 1152
Modeling of Nonlinear Optical Second Harmonic Generation in Periodic Structures......Page 1162
Support Splitting Phenomena of the Solution to the Porous Media Equation with Absorption......Page 1172
Principle of Telethoscope Representing the Solutions of Partial Differential Equations by Local Data......Page 1182
Smooth Bifurcation for Variational Inequalities and Reaction-Diffusion Systems......Page 1190
Bifurcation Analysis in Diffusive Logistic Equations with Nonlinear Boundary Conditions......Page 1200
The Oblique Derivative Problem for the Laplace Equation......Page 1208
The Mixed Problem for Harmonic Functions Outside a Cut of an Arbitrary Shape......Page 1216
Variational Equations of Higher Order in the Center-Focus Problem......Page 1226
P-Spaces Applications to Genetic Data......Page 1236
High-Frequency Diffraction by a Shell......Page 1244
The Jump Problem for the Equation of Internal Waves in a Stratified Rotating Fluid......Page 1250
Computation of Stress Fields on Polygonal Domains with V-Notches or Cracks......Page 1262
On Combining Finite Element Methods and Finite Volume Methods in Computational Fluid Dynamics......Page 1270
A Boundary Integral Method for an Oscillatory Stokes Flow Past Two Bodies......Page 1280
Some Numerical Quadrature Algorithms for the Computation of MacDonald Function......Page 1288
A Conduction Model for Transient Heating of Fuel Droplets......Page 1296
Toward Quantum Transmutation......Page 1306
Radiation Reflected from Random Rough Surfaces Using the Stochastic Expansion......Page 1318
Existence and Asymptotic Behaviour for the Solutions of the Coupled Klein-Gordon-Schrodinger Equations......Page 1332
Phase Transitions in Hyperbolic Conservation Laws......Page 1344
Existence and Uniform Decay of the Wave Equation with Nonlinear Boundary Damping and Boundary Memory Source Term......Page 1354
The Mixed Boundary Value Problem for Nonlinear Nondivergence Elliptic Systems of Second Order Equations with Measurable Coefficients in Higher Dimensional Domains......Page 1366
Local Existence and Uniqueness for a Model of Finite Multiplicative Visco-Plasticity and the Role of an Extended Korn's First Inequality......Page 1376
Comparison of Modified Gradient and Contrast Source Inversion Methods in Elastodynamics......Page 1382
Photonic Crystals: Modal Theory of PC Fibers and Numerical Application......Page 1392
Binary Contrast Source Inversion Method......Page 1402
Furtivity and Masking Problems in Time Dependent Acoustic Obstacle Scattering......Page 1412
Non-Destructive Control of Dielectrics: Mathematical Models Based on Analytical Regularization......Page 1424
Imaging Floating Objects from Underwater......Page 1434
Unambiguous Reconstruction of the 2D Boundary of a Half-Space Probed by Acoustic Waves......Page 1442
An Optimization Method for Grating Profile Reconstruction......Page 1456
A Priori Strategy in Discretization of the Tikhonov Regularization......Page 1470
Low-Frequency Electromagnetic Modeling and Retrievel of Simple Orebodies in a Conductive Earth......Page 1478
Recursive Linearization of an Inverse Medium Problem......Page 1488
Evaluation of Rotor Unbalance Without Tests......Page 1502
An Inverse-Free Directional Newton Method for Solving Systems of Nonlinear Equations......Page 1512
A Charge Simulation Method for Spatially Periodic Problems......Page 1524
Nonlinear Non-Lipschitz Polar Volterra Integral Equation in Weighted Colombeau Spaces......Page 1534
Linear and Nonlinear Discriminant Functions for the Classification of High Energy Physics Data......Page 1546