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Correctness and regularization of stochastic problems

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Publication:6554751
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DOI10.1515/jiip-2023-0011MaRDI QIDQ6554751

Irina V. Melnikova, V. A. Bovkun

Publication date: 13 June 2024





zbMATH Keywords

generatorWiener processerror estimationstochastic equationregularizing operatoroperator semigroup


Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Linear operators and ill-posed problems, regularization (47A52) (C)-semigroups, regularized semigroups (47D60)


Cites Work

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  • Regularization of ill-posed differential problems
  • Regularization and convergence for ill-posed backward evolution equations in Banach spaces
  • Regularization for a class of ill-posed evolution problems in Banach space
  • \(C\)-regularized solutions of ill-posed problems defined by strong strip-type operators
  • Stochastic Differential Equations in Infinite Dimensions
  • Stochastic Cauchy Problems in Infinite Dimensions
  • General theory of the ill-posed Cauchy problem
  • Integrated semigroups andC-semigroups. Well-posedness and regularization of differential-operator problems
  • Stochastic Equations in Infinite Dimensions






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