UID:
almafu_9958099626702883
Format:
1 online resource (335 p.)
ISBN:
1-282-28937-3
,
9786612289378
,
0-08-095562-2
Series Statement:
Mathematics in science and engineering ; v. 54
Content:
Function theoretic methods in partial differential equations
Note:
Description based upon print version of record.
,
Front Cover; Function Theoretic Methods in Partial Differential Equations; Copyright Page; Contents; Preface; Introduction; Chapter 1. An introduction to the theory of several complex variables; 1. Fundamentals of the Local Theory; 2. Hartogs' Theorem and Holomorphic Continuation; 3. Singular Points of Holomorphic Functions; 4. Elementary Bounds for Holomorphic Functions; References and Additional Reading; Chapter 2. Harmonic functions in (p + 2) variables; Introduction; 1. Harmonic Functions of Three Variables; 2. The Bergman-Whittaker Operator
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3. Location of Singularities of Harmonic Functions4. Other Operators Generating Harmonic Functions in Three Variables; 5. Harmonic Functions in Four Variables; 6. Harmonic Functions in N 〉= 5 Variables; 7. The Elliptic Operator Tp+2; References and Additional Reading; Chapter 3. Elliptic differential equations in two variables with analytic coefficients; Introduction; 1. Bergman's Integral Operator of the First Kind; 2. Analytic Computations of the Bergman E-Function; 3. Fundamental Solutions, Initial Value, and Boundary Value Problems; 4. The Complex Riemann Function: Vekua's Approach
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5. Existence Theorems for Nonlinear EquationsReferences and Additional Reading; Chapter 4. Singular partial differential equations; 1. Integral Operators for Axially Symmetric Potentials; 2. Analytic Properties of Generalized Axially Symmetric Potentials; 3. GASPT Functions with Entire and Meromorphic Associates; 4. Generalized Axially Symmetric Elliptic Partial Differential Equations in Normal Form; 5. The Generalized Biaxially Symmetric Helmholtz Equation (GBSHE); 6. The Generalized Biaxially Symmetric Schrödinger Equation (GBSSE)
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7. The Generalized Axially Symmetric Helmholtz Equation in (N + 1) Variables (GASHN)8. Weinstein's Theory of Singular Differential Equations; References and Additional Reading; Chapter 5. Applications of integral operators to scattering problems; 1. Potential Scattering in Quantum Mechanics; 2. A Generalized Potential Scattering Problem; 3. Single Channel Scattering of Particles with Spin; 4. Inelastic Scattering and Multichannel Theory; 5. Relativistic Scattering; 6. The Inverse Scattering Problem; References and Additional Reading; References; Subject Index
,
English
Additional Edition:
ISBN 0-12-283050-4
Language:
English
Subjects:
Mathematics
URL:
Volltext
(Deutschlandweit zugänglich)
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