New optimal regularity results for infinite-dimensional elliptic equations
Enrico Priola; Lorenzo Zambotti
Bollettino dell'Unione Matematica Italiana (2000)
- Volume: 3-B, Issue: 2, page 411-429
- ISSN: 0392-4041
Access Full Article
topAbstract
topHow to cite
topPriola, Enrico, and Zambotti, Lorenzo. "New optimal regularity results for infinite-dimensional elliptic equations." Bollettino dell'Unione Matematica Italiana 3-B.2 (2000): 411-429. <http://eudml.org/doc/195479>.
@article{Priola2000,
author = {Priola, Enrico, Zambotti, Lorenzo},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {nonlinear elliptic equations; Hilbert-Schmidt operators},
language = {eng},
month = {6},
number = {2},
pages = {411-429},
publisher = {Unione Matematica Italiana},
title = {New optimal regularity results for infinite-dimensional elliptic equations},
url = {http://eudml.org/doc/195479},
volume = {3-B},
year = {2000},
}
TY - JOUR
AU - Priola, Enrico
AU - Zambotti, Lorenzo
TI - New optimal regularity results for infinite-dimensional elliptic equations
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/6//
PB - Unione Matematica Italiana
VL - 3-B
IS - 2
SP - 411
EP - 429
LA - eng
KW - nonlinear elliptic equations; Hilbert-Schmidt operators
UR - http://eudml.org/doc/195479
ER -
References
top- BEREREZANSKY, Y. M.- KONDRATIEV, Y. G., Spectral Methods in Infinite-Dimensional Analysis, Voll. 1-2, Kluwer Academic Publishers (1995). Zbl0832.47001MR1340626
- CANNARSA, P.- DA PRATO, G., Infinite Dimensional Elliptic Equations with Hölder continuous coefficients, Advances in Differential Equations, 1, n. 3 (1996), 425-452. Zbl0926.35153MR1401401
- CANNARSA, P.- DA PRATO, G., Potential Theory in Hilbert Spaces, Sympos. Appl. Math., 54, Amer. Math. Soc., Providence (1998), 27-51. Zbl0898.31008MR1492691
- DALECKY, Y. L.- FOMIN, S. V., Measures and differential equations in infinite-dimensional space, Mathematics and its applications, Kluwer Academic Publishers, Dordrecht, Boston, London (1991). Zbl0753.46027MR1140921
- DA PRATO, G.- LUNARDI, A., On the Ornstein-Uhlenbeck operator in spaces of continuous functions, J. Funct. Anal., 131 (1995), 94-114. Zbl0846.47004MR1343161
- DA PRATO, G.- ZABCZYK, J., Stochastic equations in infinite dimensions, Encyclopedia of Mathematics and its Applications44, Cambridge University Press (1992). Zbl0761.60052MR1207136
- DUNFORD, N.- SCHWARTZ, J., Linear operators, Part II, Interscience, New York (1958). Zbl0084.10402
- GROSS, L., Potential theory on Hilbert space, J. Funct. Anal., 1 (1967), 123-181. Zbl0165.16403MR227747
- ISHII, H., Viscosity solutions of nonlinear second-order partial differential equations in Hilbert spaces, Comm. in Part. Diff. Eq., 18 (1993), 601-651. Zbl0812.35153MR1214874
- KRYLOV, N. V.- RÖCKNER, M.- ZABCZYK, J., Stochastic PDE's and Kolmogorov Equations in Infinite Dimensions, Lect. Notes in Math.1715, Springer (1999). Zbl0927.00037MR1730228
- KUO, H. H., Gaussian Measures in Banach Spaces, Lect. Notes in Math., 463, Springer Verlag (1975). Zbl0306.28010MR461643
- LIONS, P. L., Viscosity Solutions of fully nonlinear second-order equations and optimal stochastic control in infinite-dimentions. Part III. Uniqueness of viscosity solutions of general second order equations, J. Funct. Anal., 86 (1989), 1-18. Zbl0757.93084MR1013931
- LUNARDI, A., Analytic semigroups and Optimal Regularity in Parabolic Problems, Birkhäuser, Basel (1995). Zbl0816.35001MR1329547
- MA, Z. M.- ROCKNER, M., Introduction to the Theory of (Non Symmetric) Dirichlet FormsSpringer-Verlag (1992). Zbl0826.31001
- PIECH, A., A fundamental solution of the parabolic equation on Hilbert spaces, J. Funct. Anal., 3 (1969), 85-114. Zbl0169.47103MR251588
- PRIOLA, E., Schauder estimates for a homogeneous Dirichlet problem in a half space of a Hilbert space, Nonlinear Analysis, T.M.A., to appear. Zbl0992.35108MR1822238
- PRIOLA, E., Partial Differential Equations with infinitely many variables, Ph.D. Thesis. in Mathematics, Università di Milano (1999).
- PRIOLA, E., On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions, Studia Mathematica, 136 (3) (1999), 271-295. Zbl0955.47024MR1724248
- STROOCK, D. W., Logarithmic Sobolev Inequalities for Gibbs States, Corso CIME, Springer-Verlag (1994). Zbl0801.60056MR1292280
- SWIECH, A., «Unbounded» second order partial differential equations in infinite dimensional Hilbert spaces, Comm. in Part. Diff. Eq., 19 (1994), 1999-2036. Zbl0812.35154MR1301180
- VAN NEERVEN, J. M. A. M.- ZABCZYK, J., Norm discontinuity of Ornstein-Uhlenbeck semigroups, Semigroup Forum, to appear. Zbl0960.47024MR1847653
- TRIEBEL, H., Interpolation Theory, Function spaces, Differential Operators, North-Holland, Amsterdam (1986). Zbl0387.46032MR503903
- ZAMBOTTI, L., Infinite-Dimensional Elliptic and Stochastic Equations with Hölder-Continuous Coefficients, Stochastic Anal. Appl., 17 (3) (1999), 487-508. Zbl0938.60051MR1686963
- ZAMBOTTI, L., A new approach to existence and uniqueness for martingale problems in infinite dimensions, Prob. Theory and Rel. Fields., to appear. Zbl0963.60059
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.