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Volumn 118, Issue 2, 2000, Pages 187-210

Probabilistic approach to the strong Feller property

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EID: 0034557956     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s440-000-8014-0     Document Type: Article
Times cited : (27)

References (46)
  • 1
    • 0041080553 scopus 로고    scopus 로고
    • Transience of stochastically perturbed classical Hamiltonian systems and random wave operators
    • Albeverio, S., Hilbert, A., Kolokoltsov, V.: Transience of stochastically perturbed classical Hamiltonian systems and random wave operators, Stochastics Stochastics Rep., 60, 41-55 (1997)
    • (1997) Stochastics Stochastics Rep. , vol.60 , pp. 41-55
    • Albeverio, S.1    Hilbert, A.2    Kolokoltsov, V.3
  • 2
    • 0010887627 scopus 로고
    • Hamiltonian systems with a stochastic force: Nonlinear versus linear, and a Girsanov formula
    • Albeverio, S., Hilbert, A., Zehnder, E.: Hamiltonian systems with a stochastic force: nonlinear versus linear, and a Girsanov formula, Stochastics Stochastics Rep., 39, 159-188 (1992)
    • (1992) Stochastics Stochastics Rep. , vol.39 , pp. 159-188
    • Albeverio, S.1    Hilbert, A.2    Zehnder, E.3
  • 3
    • 0000227832 scopus 로고
    • p corresponding to differential equations with delays
    • p corresponding to differential equations with delays, Canad. J. Math., 30, 897-914 (1978)
    • (1978) Canad. J. Math. , vol.30 , pp. 897-914
    • Bernier, C.1    Manitius, A.2
  • 4
    • 0000297769 scopus 로고    scopus 로고
    • On stochastic convolution in Banach spaces and applications
    • Brzeźniak, Z.: On stochastic convolution in Banach spaces and applications, Stochastics Stochastics Rep., 61, 245-295 ( 1997)
    • (1997) Stochastics Stochastics Rep. , vol.61 , pp. 245-295
    • Brzeźniak, Z.1
  • 5
    • 4243233336 scopus 로고    scopus 로고
    • Maximal inequalities and exponential estimates for stochastic convolutions in Banach spaces
    • to appear
    • Brzeźniak, Z., Peszat, S.: Maximal inequalities and exponential estimates for stochastic convolutions in Banach spaces, The Albeverio Festschrift, to appear
    • The Albeverio Festschrift
    • Brzeźniak, Z.1    Peszat, S.2
  • 6
    • 0032683004 scopus 로고    scopus 로고
    • Smoothing properties of transition semigroups relative to SDEs with values in Banach spaces
    • Cerrai, S.: Smoothing properties of transition semigroups relative to SDEs with values in Banach spaces, Probab. Theory Related Fields, 113, 85-114 (1999)
    • (1999) Probab. Theory Related Fields , vol.113 , pp. 85-114
    • Cerrai, S.1
  • 7
    • 0002647982 scopus 로고    scopus 로고
    • Ergodicity for stochastic reaction-diffusion systems with polynomial coefficients
    • Cerrai. S.: Ergodicity for stochastic reaction-diffusion systems with polynomial coefficients, Stochaslics Stochastics Rep., 67, 17-51 (1999)
    • (1999) Stochaslics Stochastics Rep. , vol.67 , pp. 17-51
    • Cerrai, S.1
  • 8
    • 0002798055 scopus 로고    scopus 로고
    • Differentiability of Markov semigroups for stochastic reaction-diffusion equations and applications to control
    • Cerrai, S.: Differentiability of Markov semigroups for stochastic reaction-diffusion equations and applications to control, Stochastic Process. Appl., 83, 15-37 (1999)
    • (1999) Stochastic Process. Appl. , vol.83 , pp. 15-37
    • Cerrai, S.1
  • 10
    • 21844485327 scopus 로고
    • Existence, uniqueness and invariant measures for stochastic semilinear equations on Hilbert spaces
    • Chojnowska-Michalik, A., Goldys, B.: Existence, uniqueness and invariant measures for stochastic semilinear equations on Hilbert spaces, Probab. Theory Related Fields, 102, 331-356 (1995)
    • (1995) Probab. Theory Related Fields , vol.102 , pp. 331-356
    • Chojnowska-Michalik, A.1    Goldys, B.2
  • 11
    • 21844506079 scopus 로고
    • Strong Feller property for stochastic semilinear equations
    • Da Prato, G., Elworthy, K.D., Zabczyk, J.: Strong Feller property for stochastic semilinear equations, Stochastic Anal. Appl., 13, 35-45 (1995)
    • (1995) Stochastic Anal. Appl. , vol.13 , pp. 35-45
    • Da Prato, G.1    Elworthy, K.D.2    Zabczyk, J.3
  • 13
    • 0008562468 scopus 로고
    • Evolution equations with white-noise boundary conditions
    • Da Prato, G., Zabczyk, J.: Evolution equations with white-noise boundary conditions, Stochastics Stochastics Rep., 42, 167-182 (1993)
    • (1993) Stochastics Stochastics Rep. , vol.42 , pp. 167-182
    • Da Prato, G.1    Zabczyk, J.2
  • 17
    • 0000893689 scopus 로고    scopus 로고
    • Ergodic results for stochastic Navier-Stokes equation
    • Ferrario, B.: Ergodic results for stochastic Navier-Stokes equation, Stochastics Stochastics Rep., 60, 271-288 (1997)
    • (1997) Stochastics Stochastics Rep. , vol.60 , pp. 271-288
    • Ferrario, B.1
  • 19
    • 3042965699 scopus 로고    scopus 로고
    • Smoothing properties of nonlinear stochastic equations in Hilbert spaces
    • Fuhrman, M.: Smoothing properties of nonlinear stochastic equations in Hilbert spaces, NoDEA Nonlinear Differential Equations Appl., 3, 445-464 (1996)
    • (1996) NoDEA Nonlinear Differential Equations Appl. , vol.3 , pp. 445-464
    • Fuhrman, M.1
  • 20
    • 0039252800 scopus 로고    scopus 로고
    • On a class of stochastic equations in Hilbert spaces: Solvability and smoothing properties
    • Fuhrman. M.: On a class of stochastic equations in Hilbert spaces: solvability and smoothing properties, Stochastic Anal. Appl., 17, 43-69 (1999)
    • (1999) Stochastic Anal. Appl. , vol.17 , pp. 43-69
    • Fuhrman, M.1
  • 21
    • 0001151013 scopus 로고
    • Compactness and sequential compactness in spaces of measures
    • Gänssler, P.: Compactness and sequential compactness in spaces of measures, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 17, 124-146 (1971)
    • (1971) Z. Wahrscheinlichkeitstheorie Verw. Gebiete , vol.17 , pp. 124-146
    • Gänssler, P.1
  • 22
    • 0031531804 scopus 로고    scopus 로고
    • On invariant measures for diffusions on Banach spaces
    • Ga̧tarek, D., Goldys, B.: On invariant measures for diffusions on Banach spaces, Potential Anal., 7, 539-553 (1997)
    • (1997) Potential Anal. , vol.7 , pp. 539-553
    • Ga̧tarek, D.1    Goldys, B.2
  • 23
    • 0001392137 scopus 로고
    • A classification of the second order degenerate elliptic operators and its probabilistic characterization
    • Ichihara, K., Kunita, H.: A classification of the second order degenerate elliptic operators and its probabilistic characterization, Z. Wahrscheinlichkeitstheoric verw. Gebiete, 30, 235-254 (1974); 39, 81-84 (1977)
    • (1974) Z. Wahrscheinlichkeitstheoric Verw. Gebiete , vol.30 , pp. 235-254
    • Ichihara, K.1    Kunita, H.2
  • 24
    • 0001392137 scopus 로고
    • Ichihara, K., Kunita, H.: A classification of the second order degenerate elliptic operators and its probabilistic characterization, Z. Wahrscheinlichkeitstheoric verw. Gebiete, 30, 235-254 (1974); 39, 81-84 (1977)
    • (1977) Z. Wahrscheinlichkeitstheoric Verw. Gebiete , vol.39 , pp. 81-84
  • 25
    • 0039862402 scopus 로고    scopus 로고
    • Study of stochastic differential equations by constructive methods I
    • Jona-Lasinio, G., Sénéor, R.: Study of stochastic differential equations by constructive methods I., J. Statist. Phys., 83, 1109-1148 (1996)
    • (1996) J. Statist. Phys. , vol.83 , pp. 1109-1148
    • Jona-Lasinio, G.1    Sénéor, R.2
  • 27
    • 0003224552 scopus 로고
    • Continuous exponential martingales and BMO
    • Springer-Verlag, Berlin
    • Kazamaki, N.: Continuous exponential martingales and BMO, Lecture Notes in Math. 1579, Springer-Verlag, Berlin 1994
    • (1994) Lecture Notes in Math. , vol.1579
    • Kazamaki, N.1
  • 28
    • 0000073329 scopus 로고
    • Ergodic properties of recurrent diffusion processes and stabilization of solutions to the cauchy problem for parabolic equations
    • in Russian
    • Khas'minskiǐ, R.Z.: Ergodic properties of recurrent diffusion processes and stabilization of solutions to the Cauchy problem for parabolic equations, Teor. Veroyatnost. i Primenen., 5 196-214 ( 1960) (in Russian)
    • (1960) Teor. Veroyatnost. i Primenen. , vol.5 , pp. 196-214
    • Khas'minskiǐ, R.Z.1
  • 32
    • 0040624209 scopus 로고
    • Ergodic property of N-dimensional recurrent Markov processes
    • Maruyama, G., Tanaka, H.: Ergodic property of N-dimensional recurrent Markov processes, Mem. Fac. Sci. Kyushu Univ. Ser. A, 13, 157-172 (1959)
    • (1959) Mem. Fac. Sci. Kyushu Univ. Ser. A , vol.13 , pp. 157-172
    • Maruyama, G.1    Tanaka, H.2
  • 33
    • 0039893528 scopus 로고
    • Strong Feller property for semilinear stochastic evolution equations and applications, Stochastic systems and optimization (Warsaw. 1988)
    • Springer-Verlag, Berlin
    • Maslowski, B.: Strong Feller property for semilinear stochastic evolution equations and applications, Stochastic systems and optimization (Warsaw. 1988), 210-224, Lecture Notes in Control Inform. Sci. 136, Springer-Verlag, Berlin 1989
    • (1989) Lecture Notes in Control Inform. Sci. , vol.136 , pp. 210-224
    • Maslowski, B.1
  • 34
    • 0006381245 scopus 로고
    • On ergodic behaviour of solutions to systems of stochastic reaction-diffusion equations with correlated noise
    • Akademie-Verlag, Berlin
    • Maslowski, B.: On ergodic behaviour of solutions to systems of stochastic reaction-diffusion equations with correlated noise, Stochastic processes and related topics (Georgenthal, 1990), 93-102, Akademie-Verlag, Berlin 1991
    • (1991) Stochastic Processes and Related Topics (Georgenthal, 1990) , pp. 93-102
    • Maslowski, B.1
  • 35
    • 0011049150 scopus 로고
    • On probability distributions of solutions of semilinear stochastic evolution equations
    • Maslowski, B.: On probability distributions of solutions of semilinear stochastic evolution equations, Stochastics Stochastics Rep., 45, 17-44 (1993)
    • (1993) Stochastics Stochastics Rep. , vol.45 , pp. 17-44
    • Maslowski, B.1
  • 37
    • 0001146109 scopus 로고
    • Existence and uniqueness of the solution for stochastic equations on Banach spaces
    • Peszat, S.: Existence and uniqueness of the solution for stochastic equations on Banach spaces, Stochastics Stochastics Rep., 55, 167-193 (1995)
    • (1995) Stochastics Stochastics Rep. , vol.55 , pp. 167-193
    • Peszat, S.1
  • 38
    • 0038433776 scopus 로고    scopus 로고
    • Maximal inequalities and space-time regularity of stochastic convolutions
    • Peszat, S., Seidler, J.: Maximal inequalities and space-time regularity of stochastic convolutions, Math. Bohem., 123, 7-32 (1998)
    • (1998) Math. Bohem. , vol.123 , pp. 7-32
    • Peszat, S.1    Seidler, J.2
  • 39
    • 0001358860 scopus 로고
    • Strong Feller property and irreducibility for diffusions on Hilbert spaces
    • Peszat, S., Zabczyk, J.: Strong Feller property and irreducibility for diffusions on Hilbert spaces, Ann. Probab., 23, 157-172 (1995)
    • (1995) Ann. Probab. , vol.23 , pp. 157-172
    • Peszat, S.1    Zabczyk, J.2
  • 41
    • 0021384674 scopus 로고
    • Qualitative behaviour of stochastic delay equations with a bounded memory
    • Scheutzow, M.: Qualitative behaviour of stochastic delay equations with a bounded memory, Stochastics, 12, 41-80 (1984)
    • (1984) Stochastics , vol.12 , pp. 41-80
    • Scheutzow, M.1
  • 42
    • 0001028724 scopus 로고    scopus 로고
    • Ergodic behaviour of stochastic parabolic equations
    • Seidler, J.: Ergodic behaviour of stochastic parabolic equations, Czechoslovak Math. J., 47(122), 277-316 (1997)
    • (1997) Czechoslovak Math. J. , vol.47 , Issue.122 , pp. 277-316
    • Seidler, J.1
  • 43
    • 0001431377 scopus 로고
    • Remarks on ergodic conditions for Markov processes on Polish spaces
    • Stettner, Ł.: Remarks on ergodic conditions for Markov processes on Polish spaces, Bull. Polish Acad. Sci. Math., 42, 103-114 (1994)
    • (1994) Bull. Polish Acad. Sci. Math. , vol.42 , pp. 103-114
    • Stettner, Ł.1
  • 44
    • 0031510128 scopus 로고    scopus 로고
    • Existence and stability of weak solutions to stochastic differential equations with non-smooth coefficients
    • Stramer, O., Tweedie, R.L.: Existence and stability of weak solutions to stochastic differential equations with non-smooth coefficients, Statist. Sinica, 7, 577-593 (1997)
    • (1997) Statist. Sinica , vol.7 , pp. 577-593
    • Stramer, O.1    Tweedie, R.L.2


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