Potential Theory

• Κύριος συγγραφέας: Helms, Lester L. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London : Imprint: Springer, 2014.
• Έκδοση: 2nd ed. 2014.
• Σειρά: Universitext,
• Θέματα: 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...

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
• Application to Diffusion Processes.