Second Order Partial Differential Equations in Hilbert Spaces (Paperback)

Part I. Theory in the Space of Continuous Functions: 1. Gaussian measures; 2. Spaces of continuous functions; 3. Heat equation; 4. Poisson's equation; 5. Elliptic equations with variable coefficients; 6. Ornstein-Uhlenbeck equations; 7. General parabolic equations; 8. Parabolic equations in open sets; Part II. Theory in Sobolev Spaces with a Gaussian Measure: 9. L2 and Sobolev spaces; 10. Ornstein-Uhlenbeck semigroups on Lp(H, mu); 11. Perturbations of Ornstein-Uhlenbeck semigroups; 12. Gradient systems; Part II. Applications to Control Theory: 13. Second order Hamilton-Jacobi equations; 14. Hamilton-Jacobi inclusions.