Potential Theory

• Main Author: Helms, Lester L. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2014.
• Edition: 2nd ed. 2014.
• Series: Universitext,
• Subjects: Mathematics.; Partial differential equations.; Potential theory (Mathematics).; Probabilities.; Partial Differential Equations.; Potential Theory.; Probability Theory and Stochastic Processes.

Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse squar...

Table of Contents:

• Preliminaries
• Laplace’s Equation
• The Dirichlet Problem
• Green Functions
• Negligible Sets
• Dirichlet Problem for Unbounded Regions
• Energy
• Interpolation and Monotonicity
• Newtonian Potential
• Elliptic Operators
• Apriori Bounds
• Oblique Derivative Problem
• Application to Diffusion Processes.