Symmetric Operators Associated with Formal Ordinary Differential Operators
The Construction of Self-adjoint Extensions
Generalized Eigenfunction Expansions Problems
Linear Elliptic Partial Differential Equations
Introduction
Notation
Weak Derivatives and Sobolev Spaces
The Generalized Dirichlet Problem
Fredholm Alternative for Generalized Dirichlet Problem
Smoothness of Weak Solutions
Further Developments Problems
The Finite Element Method
Introduction
The Ritz Method
The Rate of Convergence of the Finite Element Method Problems
Introduction to Degree Theory
Introduction
The Degree in Finite Dimensions
The Leray-Schauder Degree
A Problem in Radiative Transfer Problems
Bifurcation Theory
Introduction
Local Bifurcation Theory
Global Eigenfunction Theory Problems
References
List of Symbols
Index
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