Approximation of the solution to the parabolic equation driven by stochastic measure
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Publication:4989962
DOI10.1090/tpms/1131zbMath1465.60060OpenAlexW3148358050MaRDI QIDQ4989962
B. I. Manikin, Vadym M. Radchenko
Publication date: 27 May 2021
Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/tpms/1131
Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57)
Related Items (4)
Averaging principle for the one-dimensional parabolic equation driven by stochastic measure ⋮ Fractional stochastic partial differential equation for random tangent fields on the sphere ⋮ Approximation of solution of the cable equation driven by a stochastic measure ⋮ Asymptotic properties of the parabolic equation driven by stochastic measure
Cites Work
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- Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm: the non-stationary case
- Approximations for a solution to stochastic heat equation with stable noise
- Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm
- Almost sure approximation of Wong-Zakai type for stochastic partial differential equations
- Regularity of the mild solution of a parabolic equation with stochastic measure
- Approximation of solutions of the stochastic wave equation by using the Fourier series
- Vector integration
- Mild solution of the parabolic equation driven by a $\sigma $-finite stochastic measure
- Mild solution of the heat equation with a general stochastic measure
- Les mesures vectorielles à valeurs dans $\mathrm{L}^0$ sont bornées
- Fourier Series Expansion of Stochastic Measures
- Averaging principle for equation driven by a stochastic measure
- Approximation of solutions of the wave equation driven by a stochastic measure
- Evolution Equations Driven by General Stochastic Measures in Hilbert Space
- Inequalities for the moments of Wiener integrals with respect to a fractional Brownian motion
- Linear second-order partial differential equations of the parabolic type
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