@article{ASNSP_2001_4_30_2_285_0,
author = {Liskevich, Vitali and R\"ockner, Michael and Sobol, Zeev and Us, Oleksiy},
title = {$L^P$-uniqueness for infinite dimensional symmetric {Kolmogorov} operators : the case of variable diffusion coefficients},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {285--309},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 30},
number = {2},
year = {2001},
zbl = {1072.35196},
mrnumber = {1895713},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2001_4_30_2_285_0/}
}
TY - JOUR AU - Liskevich, Vitali AU - Röckner, Michael AU - Sobol, Zeev AU - Us, Oleksiy TI - $L^P$-uniqueness for infinite dimensional symmetric Kolmogorov operators : the case of variable diffusion coefficients JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2001 DA - 2001/// SP - 285 EP - 309 VL - Ser. 4, 30 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_2001_4_30_2_285_0/ UR - https://zbmath.org/?q=an%3A1072.35196 UR - https://www.ams.org/mathscinet-getitem?mr=1895713 LA - en ID - ASNSP_2001_4_30_2_285_0 ER -
Liskevich, Vitali; Röckner, Michael; Sobol, Zeev; Us, Oleksiy. $L^P$-uniqueness for infinite dimensional symmetric Kolmogorov operators : the case of variable diffusion coefficients. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 30 (2001) no. 2, pp. 285-309. http://www.numdam.org/item/ASNSP_2001_4_30_2_285_0/
[1] - Y - , An approximate criterium of essential self-adjointness of Dirichlet operators, Potential Anal. 1 (1992), 307-317. | MR 1245233 | Zbl 0808.47021
[2] - - , Addendum to: An approximate criterium of essential self-adjointness of Dirichlet operators, Potential Anal. 2 (1993), 195-198. | MR 1246751 | Zbl 0808.47022
[3] - - , Dirichlet operators via stochastic analysis, J. Funct. Anal. 128 (1995), 102-138. | MR 1317712 | Zbl 0820.60042
[4] - , Self-adjointness of some infinite dimensional elliptic operators and application to stochastic quantization, Prob. Th. Rel. Fields 118 (2000), 131-145. | MR 1785456 | Zbl 0971.47019
[5] , "Uniqueness and non-uniqueness of singular diffusion operator", Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1999. | MR 1734956
[6] - - , "Dirichlet forms and symmetric Markov processes", de Gruyter, Berlin- New York, 1994. | MR 1303354 | Zbl 0838.31001
[7] - , Dirichlet operators and associated differential equations, Selecta Mathematica Sovetica 10 (1991), 345-397. | Zbl 0755.35144
[8] - , Strong uniqueness for a class of infinite dimensional Dirichlet operators and applications to stochastic quantization, Ann. Scuola. Norm. Sup. Pisa Cl. Sci (4) 27 (1998), 69-91. | Numdam | MR 1658889 | Zbl 0953.60056
[9] - - , Dirichlet operators with variable coefficients in LP spaces of functions of infinitely many variables, Infinite Dim. Anal., Quantum Prob. and Related Topics, No.4, 2 (1999), 487-502. | MR 1810809 | Zbl 1043.47507
[10] - , Dirichlet operators: a-priori estimates and uniqueness problem, J. Funct. Anal. 109 (1992) 199-213. | MR 1183610 | Zbl 0788.47041
[11] , "Analytic Semigroups and Optimal Regularity in Parabolic Problems", Birkhäuser, Basel-Boston- Berlin, 1995. | MR 1329547 | Zbl 0816.35001
[12] - , "Introduction to the theory of (non-symmetric) Dirichlet forms", Springer-Verlag, Berlin-Heidelberg -New-York-London- Paris-Tokio, 1992. | MR 1214375 | Zbl 0826.31001
[13] R. NAGEL (editor), "One-parameter Semigroups of Positive Operators", Lecture Notes in Mathematics, vol. 1184, Sringer, Berlin, 1986. | Zbl 0585.47030
[14] , "Radon measures on arbitrary topological space and cylindrical measures", Oxford University Press, London, 1973. | MR 426084 | Zbl 0298.28001
