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Stochastics and Stochastic Reports Volume 27, 1989 - Issue 2
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Original Articles

The stability of stochastic partial differential equations and applications i

I. Gyöngy Department of Probability Theory and Statistics, Eötvös University Budapest, Muzeum krt. 6-8, Hungary, 1088
Pages 129-150 | Received 03 Sep 1988, Published online: 04 Apr 2007

Citations (16)

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Read on this site (3)

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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I. Gyongy & N. V. Krylov. (1990) Stochastic partial differential equations with unbounded coefficients and applications i. Stochastics and Stochastic Reports 32:1-2, pages 53-91.
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I. GyÖngy. (1989) The stability of stochastic partial differential equations II. Stochastics and Stochastic Reports 27:3, pages 189-233.
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Articles from other publishers (13)

Oussama Elbarrimi. (2022) On the stability of mean-field stochastic differential equations with irregular expectation functional. Stochastics and Dynamics 22:06.
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Mohamed Amine Mezerdi. (2021) Compactification in optimal control of McKean‐Vlasov stochastic differential equations. Optimal Control Applications and Methods 42:4, pages 1161-1177.
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Oussama Elbarrimi & Youssef Ouknine. (2020) Approximation of solutions of mean-field stochastic differential equations. Stochastics and Dynamics 21:01, pages 2150003.
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Zhongqiang Zhang & George Em KarniadakisZhongqiang Zhang & George Em Karniadakis. 2017. Numerical Methods for Stochastic Partial Differential Equations with White Noise. Numerical Methods for Stochastic Partial Differential Equations with White Noise 53 97 .
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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Carlo Marinelli, Luca Di Persio & Giacomo Ziglio. (2013) Approximation and convergence of solutions to semilinear stochastic evolution equations with jumps. Journal of Functional Analysis 264:12, pages 2784-2816.
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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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Khaled Bahlali, Brahim Mezerdi & Youssef Ouknine. 1998. Séminaire de Probabilités XXXII. Séminaire de Probabilités XXXII 166 187 .
István Gyöngy, David Nualart & Marta Sanz-Sole. (1995) Approximation and support theorems in modulus spaces. Probability Theory and Related Fields 101:4, pages 495-509.
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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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Annie Millet & Marta Sanz-Solé. (1994) The support of the solution to a hyperbolic SPDE. Probability Theory and Related Fields 98:3, pages 361-387.
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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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