Potential Theory

Aimed at graduate students and researchers in mathematics, physics, and engineering, this book presents a clear path from calculus to classical potential theory and beyond, moving the reader into a fertile area of mathematical research as quickly as possible. The author revises and updates material...

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Bibliographic Details
Main Author: Helms, Lester
Format: eBook
Language:English
Published: London Springer London 2009, 2009
Edition:1st ed. 2009
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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