Second Order Partial Differential Equations in Hilbert Spaces: Bibliography

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.