Techniques of functional analysis for differential and integral equations - Sacks, Paul.; ScienceDirect eBooks (London : Academic Press, 2017)
8.4 Fundamental Solutions and the Fourier Transform8.5 Fundamental Solutions for Some Important PDEs; Laplace Operator; Heat Operator; Wave Operator; Schrödinger Operator; Helmholtz Operator; Klein-Gordon Operator; Biharmonic Operator; 8.6 Exercises; Chapter 9: Linear Operators; 9.1 Linear Mappings Between Banach Spaces; 9.2 Examples of Linear Operators; 9.3 Linear Operator Equations; 9.4 The Adjoint Operator; 9.5 Examples of Adjoints; 9.6 Conditions for Solvability of Linear Operator Equations; 9.7 Fredholm Operators and the Fredholm Alternative; 9.8 Convergence of Operators; 9.9 Exercises
Includes bibliographical references and index.
Elsevier
Keywords: Functional analysis; Differential equations; Integral equations; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Differential equations; Functional analysis; Integral equations; Electronic books