scientific article

zbMath1165.60331MaRDI QIDQ3375706

Nicolai V. Krylov

Publication date: 16 March 2006

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence ⋮ Parabolic Littlewood-Paley inequality for a class of time-dependent pseudo-differential operators of arbitrary order, and applications to high-order stochastic PDE ⋮ A sharp \(L_p\)-regularity result for second-order stochastic partial differential equations with unbounded and fully degenerate leading coefficients ⋮ Stochastic maximal \(L^{p}\)-regularity ⋮ High-dimensional regime for Wishart matrices based on the increments of the solution to the stochastic heat equation ⋮ Parabolic Littlewood-Paley inequality for \(\phi(-{\Delta})\)-type operators and applications to stochastic integro-differential equations ⋮ A generalization of the Littlewood-Paley inequality for the fractional Laplacian ⋮ Lp-Theory for the fractional time stochastic heat equation with an infinite-dimensional fractional Brownian motion ⋮ Schauder-type estimates for higher-order parabolic SPDEs ⋮ Conical stochastic maximal \(L^p\)-regularity for \(1\leqslant p<\infty\) ⋮ Stochastic maximal regularity for rough time-dependent problems ⋮ A Sobolev space theory for stochastic partial differential equations with time-fractional derivatives ⋮ A parabolic Triebel–Lizorkin space estimate for the fractional Laplacian operator ⋮ Maximal \(\gamma\)-regularity

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