Potential Theory

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Helms, Lester L. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2009.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Partial differential equations.; Potential theory (Mathematics).; Applied mathematics.; Engineering mathematics.; Physics.; Engineering.; Potential Theory.; Mathematical Methods in Physics.; Engineering, general.; Partial Differential Equations.; Applications of Mathematics.

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...

Πίνακας περιεχομένων:

• 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.