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New Trends in Analysis and Interdisciplinary Applications

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Cover of 'New Trends in Analysis and Interdisciplinary Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Generalized Functions Method for Solving Nonstationary Boundary Value Problems for Strictly Hyperbolic Systems with Second-Order Derivatives
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    Chapter 2 A Fast Algorithm to Determine the Flux Around Closely Spaced Non-overlapping Disks
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    Chapter 3 Conformal Mapping of Circular Multiply Connected Domains Onto Domains with Slits
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    Chapter 4 Functional Equations for Analytic Functions and Their Application to Elastic Composites
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    Chapter 5 An Example of Algebraic Symplectic Reduction for the Additive Group
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    Chapter 6 Submanifolds with Splitting Tangent Sequence
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    Chapter 7 Generalized Solutions to Stochastic Problems as Regularized in a Broad Sense
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    Chapter 8 Image Processing Algorithms in Different Areas of Science
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    Chapter 9 Boundary Value Problems for Half-Plane, Strip and Rectangle with Circular Inclusions
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    Chapter 10 Regular Strata and Moduli Spaces of Irregular Singular Connections
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    Chapter 11 Analysis of the Strategy Used to Solve Algorithmic Problem: A Case Study Based on Eye Tracking Research
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    Chapter 12 Green and Neumann Functions for Strips
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    Chapter 13 The Forecast of Ebola Virus Propagation
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    Chapter 14 On Existence of the Resolvent and Discreteness of the Spectrum of the Schrödinger Operator with a Parameter Changing Sign
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    Chapter 15 Source Identification for the Differential Equation with Memory
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    Chapter 16 New Methods for Volterra Type Integral Equation with Boundary Singular Point
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    Chapter 17 Approximate Properties of Solutions of Second Order Differential Equations with Unbounded Drift Coefficient
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    Chapter 18 Associated Operators to the Space of Elliptic Generalized-Analytic Functions
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    Chapter 19 Identification of Nonlinear Differential Systems for Bacteria Population Under Antibiotics Influence
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    Chapter 20 The Cauchy Problem for Some System of n -th Order Nonlinear Ordinary Differential Equations
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    Chapter 21 Hilbert Boundary-Value Problem for Rotation-Invariant Polyanalytic Functions
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    Chapter 22 Riemann Boundary Value Problem with Square Roots on the Real Axis
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    Chapter 23 Picard Values and Some Normality Criteria of Meromorphic Functions
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    Chapter 24 Rational Approximation of Functions in Hardy Spaces
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    Chapter 25 Suita Conjecture for a Punctured Torus
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    Chapter 26 Plemelj Formula for Bergman Integral on Unit Ball in Hermitean Clifford Analysis
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    Chapter 27 Meromorphic Functions Sharing Four Real Values
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    Chapter 28 The Minimal Cycles over Isolated Brieskorn Complete Intersection Surface Singularities
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    Chapter 29 Properties and Characteristics of ɛ Starlike Functions
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    Chapter 30 Generalized Integration Operators from Q K ( p , q ) to the Little Zygmund-Type Spaces
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    Chapter 31 The Hyperbolic Metric on the Complement of the Integer Lattice Points in the Plane
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    Chapter 32 Further Results of a Normality Criterion Related a Famous Hayman Conjecture
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    Chapter 33 Variable Integral Exponent Besov and Triebel-Lizorkin Spaces Associated with Non-negative Self-Adjoint Operators
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    Chapter 34 A Decomposition Theorem for Null-Solutions to Polynomial Slice Dirac Operator
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    Chapter 35 Further Results on Meromorphic Functions Sharing a Set with Their Derivatives
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    Chapter 36 Normal Criterion on Differential Polynomials
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    Chapter 37 A Conjecture Regarding Optimal Strichartz Estimates for the Wave Equation
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    Chapter 38 Uniform Regularity for the Time-Dependent Ginzburg-Landau-Maxwell Equations
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    Chapter 39 L p -boundedness of Functions of Schrödinger Operators on an Open Set of ℝ d $$\mathbb{R}^{d}$$
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    Chapter 40 The Kirchhoff Equation with Gevrey Data
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    Chapter 41 On Inverse Scattering on a Sun-Type Graph
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    Chapter 42 On Certain Exact Solutions for Some Equations in Field Theory
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    Chapter 43 Elliptic Equations, Manifolds with Non-smooth Boundaries, and Boundary Value Problems
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    Chapter 44 Learning Coefficients and Reproducing True Probability Functions in Learning Systems
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    Chapter 45 A Survey of Change of Scale Formulas on an Analogue of Wiener Space
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    Chapter 46 Integrability and Uniform Convergence of Multiplicative Transforms
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    Chapter 47 Shifting for the Fourier–Feynman Transform on Wiener Space
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    Chapter 48 General Integral Transforms by the Concept of Generalized Reproducing Kernels
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    Chapter 49 On Some Applications of Kontorovich–Lebedev Transforms
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    Chapter 50 Generalized Reproducing Kernels and Generalized Delta Functions
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    Chapter 51 Pasting Reproducing Kernel Hilbert Spaces
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    Chapter 52 Fundamental Solutions of Hyperbolic System of Second Order and Their Graphical Representations
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    Chapter 53 Learning with Reproducing Kernel Banach Spaces
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    Chapter 54 Mappings of Orlicz Type
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    Chapter 55 On Rate of Convergence of Sequences
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    Chapter 56 Studies on Bounded Difference Sequence Space ℓ ∞ (△) with Statistical Metric
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    Chapter 57 Rough Convergence in Metric Spaces
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    Chapter 58 Class of p -Absolutely Summable Sequence of Interval Number
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    Chapter 59 Global Existence of Small Data Solutions to the Semilinear Fractional Wave Equation
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    Chapter 60 On Strichartz Estimates in an Abstract Form
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    Chapter 61 A Remark on the Energy Estimates for Wave Equations with Integrable in Time Speed of Propagation
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    Chapter 62 Semilinear Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part
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    Chapter 63 Note on Backward Uniqueness for a Class of Parabolic Equations
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    Chapter 64 Multiplier Method in the Strong Unique Continuation for Electromagnetic Schrödinger Operator
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    Chapter 65 The Cauchy Problem for Nonlinear Complex Ginzburg–Landau Type Equations
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    Chapter 66 Uniform Resolvent Estimates for Stationary Dissipative Wave Equations in an Exterior Domain and Their Application to the Principle of Limiting Amplitude
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    Chapter 67 Stabilization of the Fourth Order Schrödinger Equation
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    Chapter 68 The External Damping Cauchy Problems with General Powers of the Laplacian
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    Chapter 69 A Note on the Blow-Up of Solutions to Nakao’s Problem
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    Chapter 70 Regular Singular Problems for Hyperbolic Systems and Their Asymptotic Integration
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    Chapter 71 A Generalization of Average Interpolating Wavelets
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    Chapter 72 Gabor Transformation on the Sphere and Its Inverse Transformation
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    Chapter 73 A Model of Relationship Between Waveform-Averaging and Slow Auditory Brainstem Response by Using Discrete Stationary Wavelet Analysis
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    Chapter 74 The Analysis of Big Data by Wavelets
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    Chapter 75 Image Source Separation Based on N -tree Discrete Wavelet Transforms
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    Chapter 76 Touch-Less Personal Verification Using Palm and Fingers Movements Tracking
Attention for Chapter 63: Note on Backward Uniqueness for a Class of Parabolic Equations
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Chapter title
Note on Backward Uniqueness for a Class of Parabolic Equations
Chapter number 63
Book title
New Trends in Analysis and Interdisciplinary Applications
Published by
Birkhäuser, Cham, January 2017
DOI 10.1007/978-3-319-48812-7_63
Book ISBNs
978-3-31-948810-3, 978-3-31-948812-7
Authors

Christian P. Jäh, Jaeh, Christian

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