New Trends in Analysis and Interdisciplinary Applications: Selected Contributions of the 10th ISAAC Congress, Macau 2015 (Trends in Mathematics)

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications. Front Matter....Pages i-lxi Front Matter....Pages 1-1 Generalized Functions Method for Solving Nonstationary Boundary Value Problems for Strictly Hyperbolic Systems with Second-Order Derivatives....Pages 3-11 A Fast Algorithm to Determine the Flux Around Closely Spaced Non-overlapping Disks....Pages 13-18 Conformal Mapping of Circular Multiply Connected Domains Onto Domains with Slits....Pages 19-25 Functional Equations for Analytic Functions and Their Application to Elastic Composites....Pages 27-33 An Example of Algebraic Symplectic Reduction for the Additive Group....Pages 35-42 Submanifolds with Splitting Tangent Sequence....Pages 43-49 Generalized Solutions to Stochastic Problems as Regularized in a Broad Sense....Pages 51-57 Image Processing Algorithms in Different Areas of Science....Pages 59-62 Boundary Value Problems for Half-Plane, Strip and Rectangle with Circular Inclusions....Pages 63-68 Regular Strata and Moduli Spaces of Irregular Singular Connections....Pages 69-75 Analysis of the Strategy Used to Solve Algorithmic Problem: A Case Study Based on Eye Tracking Research....Pages 77-86 Front Matter....Pages 87-87 Green and Neumann Functions for Strips....Pages 89-95 The Forecast of Ebola Virus Propagation....Pages 97-103 On Existence of the Resolvent and Discreteness of the Spectrum of the Schrödinger Operator with a Parameter Changing Sign....Pages 105-110 Source Identification for the Differential Equation with Memory....Pages 111-120 New Methods for Volterra Type Integral Equation with Boundary Singular Point....Pages 121-127 Approximate Properties of Solutions of Second Order Differential Equations with Unbounded Drift Coefficient....Pages 129-134 Associated Operators to the Space of Elliptic Generalized-Analytic Functions....Pages 135-141 Identification of Nonlinear Differential Systems for Bacteria Population Under Antibiotics Influence....Pages 143-149 The Cauchy Problem for Some System of n-th Order Nonlinear Ordinary Differential Equations....Pages 151-159 Front Matter....Pages 87-87 Hilbert Boundary-Value Problem for Rotation-Invariant Polyanalytic Functions....Pages 161-168 Riemann Boundary Value Problem with Square Roots on the Real Axis....Pages 169-177 Front Matter....Pages 179-179 Picard Values and Some Normality Criteria of Meromorphic Functions....Pages 181-187 Rational Approximation of Functions in Hardy Spaces....Pages 189-197 Suita Conjecture for a Punctured Torus....Pages 199-206 Plemelj Formula for Bergman Integral on Unit Ball in Hermitean Clifford Analysis....Pages 207-214 Meromorphic Functions Sharing Four Real Values....Pages 215-221 The Minimal Cycles over Isolated Brieskorn Complete Intersection Surface Singularities....Pages 223-229 Properties and Characteristics of ɛ Starlike Functions....Pages 231-237 The Hyperbolic Metric on the Complement of the Integer Lattice Points in the Plane....Pages 239-245 Further Results of a Normality Criterion Related a Famous Hayman Conjecture....Pages 247-252 Variable Integral Exponent Besov and Triebel-Lizorkin Spaces Associated with Non-negative Self-Adjoint Operators....Pages 253-260 A Decomposition Theorem for Null-Solutions to Polynomial Slice Dirac Operator....Pages 261-268 Further Results on Meromorphic Functions Sharing a Set with Their Derivatives....Pages 269-275 Normal Criterion on Differential Polynomials....Pages 277-283 Front Matter....Pages 285-290 A Conjecture Regarding Optimal Strichartz Estimates for the Wave Equation....Pages 291-291 Uniform Regularity for the Time-Dependent Ginzburg-Landau-Maxwell Equations....Pages 293-299 The Kirchhoff Equation with Gevrey Data....Pages 301-306 Front Matter....Pages 307-312 On Inverse Scattering on a Sun-Type Graph....Pages 313-318 On Certain Exact Solutions for Some Equations in Field Theory....Pages 291-291 Elliptic Equations, Manifolds with Non-smooth Boundaries, and Boundary Value Problems....Pages 319-325 Front Matter....Pages 327-335 Learning Coefficients and Reproducing True Probability Functions in Learning Systems....Pages 337-344 A Survey of Change of Scale Formulas on an Analogue of Wiener Space....Pages 345-345 Integrability and Uniform Convergence of Multiplicative Transforms....Pages 347-353 Shifting for the Fourier–Feynman Transform on Wiener Space....Pages 355-361 General Integral Transforms by the Concept of Generalized Reproducing Kernels....Pages 363-369 On Some Applications of Kontorovich–Lebedev Transforms....Pages 371-377 Generalized Reproducing Kernels and Generalized Delta Functions....Pages 379-386 Pasting Reproducing Kernel Hilbert Spaces....Pages 387-393 Fundamental Solutions of Hyperbolic System of Second Order and Their Graphical Representations....Pages 395-400 Learning with Reproducing Kernel Banach Spaces....Pages 401-407 Front Matter....Pages 409-415 Mappings of Orlicz Type....Pages 417-423 On Rate of Convergence of Sequences....Pages 425-425 Rough Convergence in Metric Spaces....Pages 427-433 Class of p-Absolutely Summable Sequence of Interval Number....Pages 435-440 Front Matter....Pages 441-447 Global Existence of Small Data Solutions to the Semilinear Fractional Wave Equation....Pages 449-454 On Strichartz Estimates in an Abstract Form....Pages 455-461 Front Matter....Pages 463-463 A Remark on the Energy Estimates for Wave Equations with Integrable in Time Speed of Propagation....Pages 465-471 Semilinear Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part....Pages 473-480 Note on Backward Uniqueness for a Class of Parabolic Equations....Pages 463-463 Multiplier Method in the Strong Unique Continuation for Electromagnetic Schrödinger Operator....Pages 481-488 The Cauchy Problem for Nonlinear Complex Ginzburg–Landau Type Equations....Pages 489-498 Uniform Resolvent Estimates for Stationary Dissipative Wave Equations in an Exterior Domain and Their Application to the Principle of Limiting Amplitude....Pages 499-505 Stabilization of the Fourth Order Schrödinger Equation....Pages 507-513 The External Damping Cauchy Problems with General Powers of the Laplacian....Pages 515-519 A Note on the Blow-Up of Solutions to Nakao’s Problem....Pages 521-527 Regular Singular Problems for Hyperbolic Systems and Their Asymptotic Integration....Pages 529-535 Front Matter....Pages 537-543 A Generalization of Average Interpolating Wavelets....Pages 545-551 Gabor Transformation on the Sphere and Its Inverse Transformation....Pages 553-561 A Model of Relationship Between Waveform-Averaging and Slow Auditory Brainstem Response by Using Discrete Stationary Wavelet Analysis....Pages 563-563 The Analysis of Big Data by Wavelets....Pages 565-571 Image Source Separation Based on N-tree Discrete Wavelet Transforms....Pages 573-580 Touch-Less Personal Verification Using Palm and Fingers Movements Tracking....Pages 581-587 ....Pages 589-593