Potential Theory
Description
2. Electrostatics.- 3. Poisson's Equation.- 4. Fundamental Solutions.- 5. Capacity.- 6. Energy.- 7. Existence of the Equilibrium Potential.- 8. Maximum Principle for Potentials.- 9. Uniqueness of the Equilibrium Potential.- 10. The Cone Condition.- 11. Singularities of Bounded Harmonic Functions.- 12. Green's Function.- 13. The Kelvin Transform.- 14. Perron's Method.- 15. Barriers.- 16. Kellogg's Theorem.- 17. The Riesz Decomposition Theorem.- 18. Applications of the Riesz Decomposition.- 19. Appendix.- 20. References.- 21. Bibliography.- 22. Index.
Keywords
Potential theory (Mathematics)
