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Stochastics and Stochastic Reports Volume 27, 1989 - Issue 3
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Original Articles

The stability of stochastic partial differential equations II

I. GyÖngy Department of Probability Theory and Statistics, Eötvös University, Múzeum krt. 6-8, Budapest, H-1088, Hungary
Pages 189-233 | Received 03 Sep 1988, Published online: 04 Mar 2011

Citations (11)

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Read on this site (3)

Igor Chueshov & Annie Millet. (2011) Stochastic Two-Dimensional Hydrodynamical Systems: Wong-Zakai Approximation and Support Theorem. Stochastic Analysis and Applications 29:4, pages 570-611.
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Nicolai Krylov. (1994) Stochastic flows and stochastic differential equations. Stochastics and Stochastic Reports 51:1-2, pages 155-158.
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Istvàn Gyöngy & Nicolai v Krylov. (1992) Stochastic partial differential equations with unbounded coefficients and applications. III. Stochastics and Stochastic Reports 40:1-2, pages 77-115.
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Articles from other publishers (8)

Timur Yastrzhembskiy. (2020) Wong–Zakai approximation and support theorem for semilinear stochastic partial differential equations with finite dimensional noise in the whole space. Stochastics and Partial Differential Equations: Analysis and Computations 9:1, pages 71-104.
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Timur Yastrzhembskiy. (2019) Support theorem for an SPDE with multiplicative noise driven by a cylindrical Wiener process on the real line. Stochastics and Partial Differential Equations: Analysis and Computations 8:3, pages 509-543.
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Peter Friz & Harald Oberhauser. (2013) Rough path stability of (semi-)linear SPDEs. Probability Theory and Related Fields 158:1-2, pages 401-434.
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Harald Oberhauser, Michael Caruana & Peter K. Friz. (2011) A (rough) pathwise approach to a class of non-linear stochastic partial differential equations. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 28:1, pages 27-46.
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Michael Caruana & Peter Friz. (2009) Partial differential equations driven by rough paths. Journal of Differential Equations 247:1, pages 140-173.
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I. Gyöngy. (1995) On the Support of the Solutions of Stochastic Differential Equations. Theory of Probability & Its Applications 39:3, pages 519-523.
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Istv�n Gy�ngy & Nicolai V. Krylov. (1992) On stochastic partial differential equations with Unbounded coefficients. Potential Analysis 1:3, pages 233-256.
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István Gyöngy. 1991. Topics in Stochastic Systems: Modelling, Estimation and Adaptive Control. Topics in Stochastic Systems: Modelling, Estimation and Adaptive Control 116 136 .

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