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51

Markov property of generalized fields and axiomatic potential theory

Michael Röckner

Journal:

Mathematische Annalen

Year:

1983

Language:

english

File:

PDF, 1.04 MB

english, 1983

52

Existence and uniqueness of solutions for Fokker–Planck equations on Hilbert spaces

Vladimir Bogachev, Giuseppe Da Prato, Michael Röckner

Journal:

Journal of Evolution Equations

Year:

2010

Language:

english

File:

PDF, 291 KB

english, 2010

53

Stochastic Porous Media Equations and Self-Organized Criticality

Viorel Barbu, Giuseppe Da Prato, Michael Röckner

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 301 KB

english, 2009

54

Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations

Michael Röckner, Tusheng Zhang, Xicheng Zhang

Journal:

Applied Mathematics & Optimization

Year:

2010

Language:

english

File:

PDF, 501 KB

english, 2010

55

Stochastic tamed 3D Navier–Stokes equations: existence, uniqueness and ergodicity

Michael Röckner, Xicheng Zhang

Journal:

Probability Theory and Related Fields

Year:

2009

Language:

english

File:

PDF, 473 KB

english, 2009

56

Stochastic Evolution Equations of Jump Type: Existence, Uniqueness and Large Deviation Principles

Michael Röckner, Tusheng Zhang

Journal:

Potential Analysis

Year:

2007

Language:

english

File:

PDF, 449 KB

english, 2007

57

Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities

Lucian Beznea, Michael Röckner

Journal:

Complex Analysis and Operator Theory

Year:

2011

Language:

english

File:

PDF, 212 KB

english, 2011

58

On the contraction property of energy forms on infinite-dimensional space

Jürgen Potthoff, Michael Röckner

Journal:

Journal of Functional Analysis

Year:

1990

Language:

english

File:

PDF, 539 KB

english, 1990

59

Episiotomy and perineal trauma during childbirth

Gunny Röckner, Vivian Wahlberg, Anders Ölund

Journal:

Journal of Advanced Nursing

Year:

1989

Language:

english

File:

PDF, 372 KB

english, 1989

60

Elliptic and parabolic equations for measures

Bogachev, Vladimir I, Krylov, Nikolai V, Röckner, Michael

Journal:

Russian Mathematical Surveys

Year:

2009

Language:

english

File:

PDF, 1.19 MB

english, 2009

61

Potential theory of infinite dimensional Lévy processes

Lucian Beznea, Aurel Cornea, Michael Röckner

Journal:

Journal of Functional Analysis

Year:

2011

Language:

english

File:

PDF, 270 KB

english, 2011

62

Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions

Sergio Albeverio, Hiroshi Kawabi, Michael Röckner

Journal:

Journal of Functional Analysis

Year:

2012

Language:

english

File:

PDF, 308 KB

english, 2012

63

Characterization of (non-symmetric) semi-Dirichlet forms associated with Hunt processes

ALBEVERIO, S., MA, Z. M., RÖCKNER, M.

Journal:

Random Operators and Stochastic Equations

Year:

1995

File:

PDF, 31 KB

1995

64

On Partial Integration in Infinite-Dimensional Space and Applications to Dirichlet Forms

Albeverio, S., Kusuoka, S., Rockner, M.

Journal:

Journal of the London Mathematical Society

Year:

1990

Language:

english

File:

PDF, 338 KB

english, 1990

65

Stochastic Variational Inequalities and Applications to the Total Variation Flow Perturbed by Linear Multiplicative Noise

Viorel Barbu, Michael Röckner

Journal:

Archive for Rational Mechanics and Analysis

Year:

2013

Language:

english

File:

PDF, 394 KB

english, 2013

66

On continuity equations in infinite dimensions with non-Gaussian reference measure

Kolesnikov, Alexander V., Röckner, Michael

Journal:

Journal of Functional Analysis

Year:

2014

Language:

english

File:

PDF, 537 KB

english, 2014

67

Gibbs states over the cone of discrete measures

Hagedorn, Dennis, Kondratiev, Yuri, Pasurek, Tanja, Röckner, Michael

Journal:

Journal of Functional Analysis

Year:

2013

Language:

english

File:

PDF, 331 KB

english, 2013

68

On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution

V. I. Bogachev,M. Röckner,S. V. Shaposhnikov

Journal:

Doklady Mathematics

Year:

2014

Language:

english

File:

PDF, 212 KB

english, 2014

69

Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness, and Ergodicity

Prato, G. Da, Röckner, Michael, Rozovskii, B. L., Wang, Feng-yu

Journal:

Communications in Partial Differential Equations

Year:

2006

Language:

english

File:

PDF, 166 KB

english, 2006

70

TAMED 3D NAVIER–STOKES EQUATION: EXISTENCE, UNIQUENESS AND REGULARITY

RÖCKNER, MICHAEL, ZHANG, XICHENG

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2009

Language:

english

File:

PDF, 298 KB

english, 2009

71

On the maximal inequalities of Burkholder, Davis and Gundy

Marinelli, Carlo, Röckner, Michael

Journal:

Expositiones Mathematicae

Year:

2015

Language:

english

File:

PDF, 393 KB

english, 2015

72

Stochastic porous media equations in

Barbu, Viorel, Röckner, Michael, Russo, Francesco

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2015

Language:

english

File:

PDF, 516 KB

english, 2015

73

A Milstein Scheme for SPDEs

Jentzen, Arnulf, Röckner, Michael

Journal:

Foundations of Computational Mathematics

Year:

2015

Language:

english

File:

PDF, 1008 KB

english, 2015

74

Uniqueness Problems for Degenerate Fokker–Planck–Kolmogorov Equations

Bogachev, V. I., Röckner, M., Shaposhnikov, S. V.

Journal:

Journal of Mathematical Sciences

Year:

2015

Language:

english

File:

PDF, 256 KB

english, 2015

75

General extinction results for stochastic partial differential equations and applications

Rockner, M., Wang, F.-Y.

Journal:

Journal of the London Mathematical Society

Year:

2013

Language:

english

File:

PDF, 275 KB

english, 2013

76

On $ L^p$-uniqueness of symmetric diffusion operators on Riemannian manifolds

Bogachev, V I, Rockner, M

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2003

File:

PDF, 280 KB

2003

77

Stochastic nonlinear Schrödinger equations

Barbu, Viorel, Röckner, Michael, Zhang, Deng

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2016

Language:

english

File:

PDF, 744 KB

english, 2016

78

Distances between transition probabilities of diffusions and applications to nonlinear Fokker–Planck–Kolmogorov equations

Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.

Journal:

Journal of Functional Analysis

Year:

2016

Language:

english

File:

PDF, 1.82 MB

english, 2016

79

Dirichlet Forms and Stochastic Processes (Proceedings of the International Conference held in Beijing, China, October 25-31, 1993) || Non-local (semi-) Dirichlet forms generated by pseudo differential operators

Ma, Z.M., Röckner, M., Yan, J.A.

Year:

1995

Language:

english

File:

PDF, 428 KB

english, 1995

80

The stochastic logarithmic Schrödinger equation

Barbu, Viorel, Röckner, Michael, Zhang, Deng

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2016

Language:

english

File:

PDF, 1.20 MB

english, 2016

81

GENERATORS OF MEHLER-TYPE SEMIGROUPS AS PSEUDO-DIFFERENTIAL OPERATORS

LESCOT, PAUL, RÖCKNER, MICHAEL

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2002

Language:

english

File:

PDF, 321 KB

english, 2002

82

Stochastic nonlinear Schrödinger equations: No blow-up in the non-conservative case

Barbu, Viorel, Röckner, Michael, Zhang, Deng

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 904 KB

english, 2017

83

The Poisson Equation and Estimates for Distances Between Stationary Distributions of Diffusions

Bogachev, V. I., Röckner, M., Shaposhnikov, S. V.

Journal:

Journal of Mathematical Sciences

Year:

2018

Language:

english

File:

PDF, 313 KB

english, 2018

84

Stochastic heat equations with values in a Riemannian manifold

Röckner, Michael, Wu, Bo, Zhu, Rongchan, Zhu, Xiangchan

Journal:

Rendiconti Lincei - Matematica e Applicazioni

Year:

2018

Language:

english

File:

PDF, 103 KB

english, 2018

85

On uniqueness of invariant measures for finite- and infinite-dimensional diffusions

S. Albeverio, V. Bogachev, M. Röckner

Journal:

Communications on Pure and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 556 KB

english, 1999

86

On a Relation between Intrinsic and Extrinsic Dirichlet Forms for Interacting Particle Systems

José da Silva, Yuri Kondratiev, Michael Röckner

Journal:

Mathematische Nachrichten

Year:

2001

Language:

english

File:

PDF, 243 KB

english, 2001

87

Large deviations for invariant measures of general stochastic reaction–diffusion systems

Sandra Cerrai, Michael Röckner

Journal:

Comptes Rendus Mathematique

Year:

2003

File:

PDF, 112 KB

2003

88

A new approach to Kolmogorov equations in infinite dimensions and applications to stochastic generalized Burgers equations

Michael Röckner, Zeev Sobol

Journal:

Comptes Rendus Mathematique

Year:

2004

File:

PDF, 114 KB

2004

89

Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices

Sergio Albeverio, M. Simonetta Bernabei, Michael Röckner, Minoru W. Yoshida

Journal:

Comptes Rendus Mathematique

Year:

2005

Language:

english

File:

PDF, 88 KB

english, 2005

90

A new approach to Kolmogorov equations in infinite dimensions and applications to the stochastic 2D Navier–Stokes equation

Michael Röckner, Zeev Sobol

Journal:

Comptes Rendus Mathematique

Year:

2007

Language:

english

File:

PDF, 130 KB

english, 2007

91

Markov processes associated with -resolvents, applications to quasi-regular Dirichlet forms and stochastic differential equations

Lucian Beznea, Nicu Boboc, Michael Röckner

Journal:

Comptes Rendus Mathematique

Year:

2008

File:

PDF, 153 KB

2008

92

Finite time extinction for solutions to fast diffusion stochastic porous media equations

Viorel Barbu, Giuseppe Da Prato, Michael Röckner

Journal:

Comptes Rendus Mathematique

Year:

2009

Language:

english

File:

PDF, 127 KB

english, 2009

93

Weak uniqueness of Fokker–Planck equations with degenerate and bounded coefficients

Michael Röckner, Xicheng Zhang

Journal:

Comptes Rendus Mathematique

Year:

2010

Language:

english

File:

PDF, 155 KB

english, 2010

94

BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space

Michael Röckner, Rongchan Zhu, Xiangchan Zhu

Journal:

Comptes Rendus Mathematique

Year:

2010

Language:

english

File:

PDF, 144 KB

english, 2010

95

Stochastic generalized porous media and fast diffusion equations

Jiagang Ren, Michael Röckner, Feng-Yu Wang

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 309 KB

english, 2007

96

Non-monotone stochastic generalized porous media equations

Michael Röckner, Feng-Yu Wang

Journal:

Journal of Differential Equations

Year:

2008

Language:

english

File:

PDF, 347 KB

english, 2008

97

Random attractors for a class of stochastic partial differential equations driven by general additive noise

Benjamin Gess, Wei Liu, Michael Röckner

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 303 KB

english, 2011

98

Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups

Giuseppe Da Prato, Michael Röckner, Feng-Yu Wang

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 236 KB

english, 2009

99

SPDE in Hilbert space with locally monotone coefficients

Wei Liu, Michael Röckner

Journal:

Journal of Functional Analysis

Year:

2010

Language:

english

File:

PDF, 178 KB

english, 2010

100

Elliptic equations for measures: Regularity and global bounds of densities

Vladimir I. Bogachev, Nicolai V. Krylov, Michael Röckner

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2006

Language:

english

File:

PDF, 200 KB

english, 2006