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Stochastic maximal regularity for rough time-dependent problems (Q2303974)

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English	Stochastic maximal regularity for rough time-dependent problems	scientific article

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scholarly article

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Stochastic maximal regularity for rough time-dependent problems (English)

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Stochastic and Partial Differential Equations. Analysis and Computations

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publication date

6 March 2020

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full work available at URL

https://arxiv.org/abs/1810.01183

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zbMATH Keywords

stochastic PDEs

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maximal regularity

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VMO coefficients

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measurable coefficients

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higher order equations

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Sobolev spaces

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\(A_p\)-weights

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MaRDI profile type

MaRDI publication profile

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Stability properties of stochastic maximal \(L^p\)-regularity

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Existence, uniqueness, and regularity for stochastic evolution equations with irregular initial values

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Change of angle in tent spaces

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Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I

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Functional calculus for first order systems of Dirac type and boundary value problems

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Vertical versus conical square functions

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Singular integral operators on tent spaces

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Conical stochastic maximal \(L^p\)-regularity for \(1\leqslant p<\infty\)

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On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients

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Quadratic estimates and functional calculi of perturbed Dirac operators

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The Cauchy problem for systems in L\(_p\) and L\({_p,\alpha}\)

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Stochastic partial differential equations in \(M\)-type 2 Banach spaces

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On stochastic convolution in banach spaces and applications

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Is the stochastic parabolicity condition dependent on \(p\) and \(q\)?

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Itô's formula in UMD Banach spaces and regularity of solutions of the Zakai equation

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On the \(L_q(L_p)\)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains

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On the regularity of the stochastic heat equation on polygonal domains in \(\mathbb{R}^2\)

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An \(L_{p}\)-estimate for the stochastic heat equation on an angular domain in \(\mathbb {R}^2\)

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Some new function spaces and their applications to harmonic analysis.

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Weights, extrapolation and the theory of Rubio de Francia.

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Maximal regularity for stochastic convolutions in \(L^p\) spaces

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Stochastic Equations in Infinite Dimensions

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ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type

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New thoughts on old results of R. T. Seeley

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Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions

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On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients

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On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights

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Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem

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Stochastic Hölder continuity of random fields governed by a system of stochastic PDEs

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Bounded holomorphic functional calculus for non-divergence form differential operators

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\(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions

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On second-order periodic elliptic operators in divergence form

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\(H^p\) spaces of several variables

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Evolution families and maximal regularity for systems of parabolic equations

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Maximal regularity for non-autonomous equations with measurable dependence on time

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Elliptic partial differential equations of second order

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Classical Fourier Analysis

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Modern Fourier Analysis

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The functional calculus for sectorial operators

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Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators

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Estimates for translation invariant operators in \(L^p\) spaces

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Conical square function estimates in UMD Banach spaces and applications to \(H^{\infty}\)-functional calculi

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Analysis in Banach Spaces

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Analysis in Banach Spaces

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The \(H^\infty\)-calculus and sums of closed operators

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On \(L_p\)-theory of stochastic partial differential equations of divergence form in \(C^1\) domains

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On stochastic partial differential equations with variable coefficients in \(C^1\) domains

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\(L_p\)-estimates for SPDE with discontinuous coefficients in domains

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Sobolev space theory of SPDEs with continuous or measurable leading coefficients

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A weighted Sobolev space theory of parabolic stochastic PDEs on non-smooth domains

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A BMO estimate for stochastic singular integral operators and its application to SPDEs

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A regularity theory for quasi-linear stochastic PDE\(\mathbf{s}\) in weighted Sobolev spaces

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A note on \(W^{\gamma}_p\)-theory of linear stochastic parabolic partial differential systems

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Parabolic Littlewood-Paley inequality for \(\phi(-{\Delta})\)-type operators and applications to stochastic integro-differential equations

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Well-posedness for the Navier-Stokes equations

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On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces

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On $L_p $-Theory of Stochastic Partial Differential Equations in the Whole Space

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SPDEs in \(L_q(\mskip-2mu(0,\tau], L_p)\) spaces

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On Divergence Form SPDEs with VMO Coefficients

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A Sobolev Space Theory of SPDEs with Constant Coefficients in a Half Space

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New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains

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Ten equivalent definitions of the fractional Laplace operator

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The heat equation with rough boundary conditions and holomorphic functional calculus

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Complex interpolation with Dirichlet boundary conditions on the half line

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Singular behavior of the solution to the stochastic heat equation on a polygonal domain

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Stochastic partial differential equations: an introduction

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Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in \(L^p\) spaces on Lipschitz domains

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Sharp embedding results for spaces of smooth functions with power weights

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Traces and embeddings of anisotropic function spaces

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A note on Krylov's \(L_p\)-theory for systems of SPDEs

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Stochastic integration of functions with values in a Banach space

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Conditions for stochastic integrability in UMD Banach spaces

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Stochastic integration in UMD Banach spaces

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Maximal $L^p$-Regularity for Stochastic Evolution Equations

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Stochastic maximal \(L^{p}\)-regularity

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Stochastic Integration in Banach Spaces – a Survey

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Maximal \(\gamma\)-regularity

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On the \(R\)-boundedness of stochastic convolution operators

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Measurability of Generalized Inverses of Random Linear Operators

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Stochastic partial differential equations and filtering of diffusion processes

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Global existence in reaction-diffusion systems with control of mass: a survey

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Martingales with values in uniformly convex spaces

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Pseudodifferential operators on Bochner spaces and an application

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Forward integration, convergence and non-adapted pointwise multipliers

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Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time

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Maximal regularity for evolution equations in weighted \(L_p\)-spaces

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Moving Interfaces and Quasilinear Parabolic Evolution Equations

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Critical spaces for quasilinear parabolic evolution equations and applications

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On the space of vector-valued functions integrable with respect to the white noise

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Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

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Identifiers

zbMATH Open document ID

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10.1007/s40072-019-00134-w

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2303974

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