Loading [MathJax]/jax/output/SVG/config.js
Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki"
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", 1979, Volume 14, Pages 71–146 (Mi intd39)  

This article is cited in 226 scientific papers (total in 226 papers)

Stochastic evolution equations

N. V. Krylov, B. L. Rozovskii
Abstract: The theory of strong solutions of Ito equations in Banach spaces is expounded. The results of this theory are applied to the investigation of strongly parabolic Ito partial differential equations.
English version:
Journal of Soviet Mathematics, 1981, Volume 16, Issue 4, Pages 1233–1277
DOI: https://doi.org/10.1007/BF01084893
Bibliographic databases:
UDC: 519.217; 519.218
Language: Russian
Citation: N. V. Krylov, B. L. Rozovskii, “Stochastic evolution equations”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 14, VINITI, Moscow, 1979, 71–146; J. Soviet Math., 16:4 (1981), 1233–1277
Citation in format AMSBIB
\Bibitem{KryRoz79}
\by N.~V.~Krylov, B.~L.~Rozovskii
\paper Stochastic evolution equations
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.
\yr 1979
\vol 14
\pages 71--146
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd39}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=570795}
\zmath{https://zbmath.org/?q=an:0462.60060|0436.60047}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 16
\issue 4
\pages 1233--1277
\crossref{https://doi.org/10.1007/BF01084893}
Linking options:
  • https://www.mathnet.ru/eng/intd39
  • https://www.mathnet.ru/eng/intd/v14/p71
  • This publication is cited in the following 226 articles:
    1. Xiaolin Yuan, Yongguang Yu, Guojian Ren, “Random attractors for fractional stochastic reaction–diffusion systems with fractional Brownian motion”, Chaos, Solitons & Fractals, 190 (2025), 115775  crossref
    2. Ulrik S. Fjordholm, Kenneth H. Karlsen, Peter H. C. Pang, “Convergent Finite Difference Schemes for Stochastic Transport Equations”, SIAM J. Numer. Anal., 63:1 (2025), 149  crossref
    3. Paramahansa Pramanik, “Stubbornness as Control in Professional Soccer Games: A BPPSDE Approach”, Mathematics, 13:3 (2025), 475  crossref
    4. Qun Chen, Bin Wu, “The Cost of Null Controllability for a Backward Stochastic Degenerate Parabolic Equation in the Vanishing Viscosity Limit”, Appl Math Optim, 89:1 (2024)  crossref
    5. Erika Hausenblas, Boris Jidjou Moghomye, Paul André Razafimandimby, “On the existence and uniqueness of solution to a stochastic Chemotaxis–Navier–Stokes model”, Stochastic Processes and their Applications, 170 (2024), 104274  crossref
    6. Renhai Wang, Tomás Caraballo, Nguyen Huy Tuan, “Mean attractors and invariant measures of locally monotone and generally coercive SPDEs driven by superlinear noise”, Journal of Differential Equations, 381 (2024), 209  crossref
    7. Hexiang Wan, Guangchen Wang, Jie Xiong, “A branching particle system approximation for solving partially observed stochastic optimal control problems via stochastic maximum principle”, Stoch PDE: Anal Comp, 12:1 (2024), 675  crossref
    8. Ankit Kumar, Manil T. Mohan, “Well-posedness of a class of stochastic partial differential equations with fully monotone coefficients perturbed by Lévy noise”, Anal.Math.Phys., 14:3 (2024)  crossref
    9. Aythami Bethencourt de León, So Takao, “A geometric extension of the Itô-Wentzell and Kunita's formulas”, Stochastic Processes and their Applications, 172 (2024), 104335  crossref
    10. David Šiška, Łukasz Szpruch, “Gradient Flows for Regularized Stochastic Control Problems”, SIAM J. Control Optim., 62:4 (2024), 2036  crossref
    11. Manuel V. Gnann, Jochem Hoogendijk, Mark C. Veraar, “Higher order moments for SPDE with monotone nonlinearities*”, Stochastics, 2024, 1  crossref
    12. Hasib Uddin Molla, Jinniao Qiu, “Numerical approximations of coupled forward–backward SPDEs”, Stochastic Analysis and Applications, 41:2 (2023), 291  crossref
    13. Yongyi Yu, Ji-Feng Zhang, “Two Multiobjective Problems for Stochastic Degenerate Parabolic Equations”, SIAM J. Control Optim., 61:4 (2023), 2708  crossref
    14. Caroline Bauzet, Flore Nabet, Kerstin Schmitz, Aleksandra Zimmermann, “Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise”, ESAIM: M2AN, 57:2 (2023), 745  crossref
    15. Min Yang, Guanggan Chen, “Stability and constructions of the Poincaré maps for a class of stochastic partial differential equations”, Physica D: Nonlinear Phenomena, 446 (2023), 133659  crossref
    16. Florian Bechtold, “Strong solutions of semilinear SPDEs with unbounded diffusion”, Stoch PDE: Anal Comp, 11:1 (2023), 1  crossref
    17. Ľubomír Baňas, Benjamin Gess, Christian Vieth, “Numerical approximation of singular-degenerate parabolic stochastic partial differential equations”, IMA Journal of Numerical Analysis, 2023  crossref
    18. Guomin Liu, Shanjian Tang, “Maximum Principle for Optimal Control of Stochastic Evolution Equations with Recursive Utilities”, SIAM J. Control Optim., 61:6 (2023), 3467  crossref
    19. Aurelien Fouetio, Gabriel Nguetseng, Jean Louis Woukeng, “Multiscale Analysis of Semilinear Damped Stochastic Wave Equations”, Acta. Math. Sin.-English Ser., 39:7 (2023), 1305  crossref
    20. Kerstin Schmitz, Aleksandra Zimmermann, “The stochastic p -Laplace equation on ℝ
      d”, Stochastic Analysis and Applications, 41:5 (2023), 892  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:1817
    Full-text PDF :929
    References:1
     
      Contact us:
    math-net2025_04@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025