Dirichlet problems in a half-space of a Hilbert space

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Volumn 5, Issue 2, 2002, Pages 257-291

  Priola, E ^a  

^a UNIVERSITY OF TURIN   (Italy)

Author keywords

Dirichlet problems; Gaussian integrals; PDEs in infinite dimensions; Schauder estimates; Semigroup theory

Indexed keywords

EID: 0036600311     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025702000729     Document Type: Article

References (26)

1. Infinite dimensional elliptic equations with hölder continuous coefficients
2. Infinite-dimensional newtonian potentials. Probability theory on vector spaces, II
3. Second order PDE's in finite and infinite dimension: A probabilistic approach
4. Ornstein-Uhlenbeck semigroups in open sets of Hilbert spaces
5. Stochastic equations in infinite dimensions
6. An extension of Weil's lemnma to infinite dimensions
7. Potential theory on Hilbert space
8. Viscosity solutions of nonlinear second-order partial differential equations in Hilbert spaces
9. Stochastic PDE's and kolmogorov equations in infinite dimensions
10. Gaussian measures in banach spaces
11. On polynomial approximation of functions on Hilbert space
12. A fundamental solution of the parabolic equation on Hilbert space
13. Uniform approximation of uniformly continuous and bounded functions on banach spaces
14. Schauder estimates for a homogeneous dirichlet problem in a half space of a Hilbert space
15. On a class of Markov type semigroups in uniformly continuous and bounded functions spaces
16. New optimal regularity results for infinite dimensional elliptic equations
17. Dirichlet problem for parabolic equations on Hilbert spaces
18. Interpolation theory, function spaces
19. Norm discontinuity of Ornstein-Uhlenbeck semigroups
20. An analytic approach to existence and uniqueness for martingale problems in infinite dimensions