L P -uniqueness for infinite dimensional symmetric Kolmogorov operators : the case of variable diffusion coefficients

Vitali Liskevich; Michael Röckner; Zeev Sobol; Oleksiy Us

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2001)

  • Volume: 30, Issue: 2, page 285-309
  • ISSN: 0391-173X

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Liskevich, Vitali, et al. "$L^P$-uniqueness for infinite dimensional symmetric Kolmogorov operators : the case of variable diffusion coefficients." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 30.2 (2001): 285-309. <http://eudml.org/doc/84443>.

@article{Liskevich2001,
author = {Liskevich, Vitali, Röckner, Michael, Sobol, Zeev, Us, Oleksiy},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {2},
pages = {285-309},
publisher = {Scuola normale superiore},
title = {$L^P$-uniqueness for infinite dimensional symmetric Kolmogorov operators : the case of variable diffusion coefficients},
url = {http://eudml.org/doc/84443},
volume = {30},
year = {2001},
}

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
PB - Scuola normale superiore
VL - 30
IS - 2
SP - 285
EP - 309
LA - eng
UR - http://eudml.org/doc/84443
ER -

References

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  4. [4] G. Da Prato - L. Tubaro, Self-adjointness of some infinite dimensional elliptic operators and application to stochastic quantization, Prob. Th. Rel. Fields118 (2000), 131-145. Zbl0971.47019MR1785456
  5. [5] A. Eberle, "Uniqueness and non-uniqueness of singular diffusion operator", Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1999. Zbl0957.60002MR1734956
  6. [6] M. Fukushima - Y. Oshima - M. Takeda, "Dirichlet forms and symmetric Markov processes", de Gruyter, Berlin- New York, 1994. Zbl0838.31001MR1303354
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  8. [8] V.A. Liskevich - M. Röckner, 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. Zbl0953.60056MR1658889
  9. [9] V.A. Liskevich - M. Röckner - Z. Sobol, 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. Zbl1043.47507MR1810809
  10. [10] V.A. Liskevich - Yu. A. Semenov, Dirichlet operators: a-priori estimates and uniqueness problem, J. Funct. Anal.109 (1992) 199-213. Zbl0788.47041MR1183610
  11. [11] A. Lunardi, "Analytic Semigroups and Optimal Regularity in Parabolic Problems", Birkhäuser, Basel-Boston- Berlin, 1995. Zbl0816.35001MR1329547
  12. [12] Z.M. Ma - M. Röckner, "Introduction to the theory of (non-symmetric) Dirichlet forms", Springer-Verlag, Berlin-Heidelberg -New-York-London- Paris-Tokio, 1992. Zbl0826.31001
  13. [13] R. NAGEL (editor), "One-parameter Semigroups of Positive Operators", Lecture Notes in Mathematics, vol. 1184, Sringer, Berlin, 1986. Zbl0585.47030
  14. [14] L. Schwartz, "Radon measures on arbitrary topological space and cylindrical measures", Oxford University Press, London, 1973. Zbl0298.28001MR426084

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