Correctness and regularization of stochastic problems
-
Irina V. Melnikova
and
Vadim A. Bovkun
Abstract
The paper is devoted to the regularization of ill-posed stochastic Cauchy problems in Hilbert spaces:
The need for regularization is connected with the fact that in the general case the operator A is not supposed to generate a strongly continuous semigroup and with the divergence of the series defining the infinite-dimensional Wiener process
Funding source: Russian Science Foundation
Award Identifier / Grant number: 23-21-00199
Funding statement: The research is supported by the Russian Science Foundation, Grant No. 23-21-00199.
References
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Articles in the same Issue
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- Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition
- Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation
- Direct numerical algorithm for calculating the heat flux at an inaccessible boundary
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- On the X-ray transform of planar symmetric tensors
- Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity
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- Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges
- Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces
- A projected gradient method for nonlinear inverse problems with 𝛼ℓ1 − 𝛽ℓ2 sparsity regularization
- Correctness and regularization of stochastic problems
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Articles in the same Issue
- Frontmatter
- Stability properties for a class of inverse problems
- Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition
- Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation
- Direct numerical algorithm for calculating the heat flux at an inaccessible boundary
- The game model with multi-task for image denoising and edge extraction
- On the X-ray transform of planar symmetric tensors
- Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity
- Acquiring elastic properties of thin composite structure from vibrational testing data
- Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges
- Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces
- A projected gradient method for nonlinear inverse problems with 𝛼ℓ1 − 𝛽ℓ2 sparsity regularization
- Correctness and regularization of stochastic problems
- A layer potential approach to inverse problems in brain imaging
- Inverse problem for Dirac operators with two constant delays
