Stochastic maximal regularity for rough time-dependent problems
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Publication:2303974
DOI10.1007/s40072-019-00134-wzbMath1431.60062arXiv1810.01183OpenAlexW2963537024WikidataQ128287814 ScholiaQ128287814MaRDI QIDQ2303974
Publication date: 6 March 2020
Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.01183
Sobolev spacesmaximal regularitystochastic PDEsmeasurable coefficients\(A_p\)-weightsVMO coefficientshigher order equations
Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Harmonic analysis and PDEs (42B37)
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Cites Work
- Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time
- A note on Krylov's \(L_p\)-theory for systems of SPDEs
- Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
- The \(H^\infty\)-calculus and sums of closed operators
- On second-order periodic elliptic operators in divergence form
- Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the \(L_q(L_p)\)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains
- Stochastic maximal \(L^{p}\)-regularity
- On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces
- Is the stochastic parabolicity condition dependent on \(p\) and \(q\)?
- A weighted Sobolev space theory of parabolic stochastic PDEs on non-smooth domains
- Traces and embeddings of anisotropic function spaces
- Singular behavior of the solution to the stochastic heat equation on a polygonal domain
- Stochastic partial differential equations: an introduction
- Ten equivalent definitions of the fractional Laplace operator
- Maximal regularity for non-autonomous equations with measurable dependence on time
- Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I
- Weights, extrapolation and the theory of Rubio de Francia.
- Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions
- On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients
- Global existence in reaction-diffusion systems with control of mass: a survey
- Estimates for translation invariant operators in \(L^p\) spaces
- Quadratic estimates and functional calculi of perturbed Dirac operators
- Itô's formula in UMD Banach spaces and regularity of solutions of the Zakai equation
- Conical square function estimates in UMD Banach spaces and applications to \(H^{\infty}\)-functional calculi
- Sobolev space theory of SPDEs with continuous or measurable leading coefficients
- Some new function spaces and their applications to harmonic analysis.
- Martingales with values in uniformly convex spaces
- Maximal regularity for stochastic convolutions in \(L^p\) spaces
- Stochastic partial differential equations in \(M\)-type 2 Banach spaces
- New thoughts on old results of R. T. Seeley
- SPDEs in \(L_q(\mskip-2mu(0,\tau, L_p)\) spaces]
- Elliptic partial differential equations of second order
- An \(L_{p}\)-estimate for the stochastic heat equation on an angular domain in \(\mathbb {R}^2\)
- Critical spaces for quasilinear parabolic evolution equations and applications
- A regularity theory for quasi-linear stochastic PDE\(\mathbf{s}\) in weighted Sobolev spaces
- Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in \(L^p\) spaces on Lipschitz domains
- A note on \(W^{\gamma}_p\)-theory of linear stochastic parabolic partial differential systems
- On \(L_p\)-theory of stochastic partial differential equations of divergence form in \(C^1\) domains
- \(L_p\)-estimates for SPDE with discontinuous coefficients in domains
- Bounded holomorphic functional calculus for non-divergence form differential operators
- Maximal regularity for evolution equations in weighted \(L_p\)-spaces
- Singular integral operators on tent spaces
- Existence, uniqueness, and regularity for stochastic evolution equations with irregular initial values
- Stability properties of stochastic maximal \(L^p\)-regularity
- \(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions
- Stochastic Hölder continuity of random fields governed by a system of stochastic PDEs
- The heat equation with rough boundary conditions and holomorphic functional calculus
- On the regularity of the stochastic heat equation on polygonal domains in \(\mathbb{R}^2\)
- Maximal \(\gamma\)-regularity
- On the \(R\)-boundedness of stochastic convolution operators
- A BMO estimate for stochastic singular integral operators and its application to SPDEs
- Stochastic integration in UMD Banach spaces
- Evolution families and maximal regularity for systems of parabolic equations
- New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains
- Change of angle in tent spaces
- Parabolic Littlewood-Paley inequality for \(\phi(-{\Delta})\)-type operators and applications to stochastic integro-differential equations
- On stochastic partial differential equations with variable coefficients in \(C^1\) domains
- The functional calculus for sectorial operators
- Pseudodifferential operators on Bochner spaces and an application
- Conical stochastic maximal \(L^p\)-regularity for \(1\leqslant p<\infty\)
- The Cauchy problem for systems in L\(_p\) and L\({_p,\alpha}\)
- \(H^p\) spaces of several variables
- Functional calculus for first order systems of Dirac type and boundary value problems
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Analysis in Banach Spaces
- Vertical versus conical square functions
- Maximal $L^p$-Regularity for Stochastic Evolution Equations
- Sharp embedding results for spaces of smooth functions with power weights
- Classical Fourier Analysis
- Modern Fourier Analysis
- On Divergence Form SPDEs with VMO Coefficients
- Stochastic partial differential equations and filtering of diffusion processes
- On the space of vector-valued functions integrable with respect to the white noise
- On stochastic convolution in banach spaces and applications
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Analysis in Banach Spaces
- On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights
- Complex interpolation with Dirichlet boundary conditions on the half line
- A Sobolev Space Theory of SPDEs with Constant Coefficients in a Half Space
- Stochastic integration of functions with values in a Banach space
- On $L_p $-Theory of Stochastic Partial Differential Equations in the Whole Space
- Stochastic Equations in Infinite Dimensions
- On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients
- Forward integration, convergence and non-adapted pointwise multipliers
- Conditions for stochastic integrability in UMD Banach spaces
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
- Measurability of Generalized Inverses of Random Linear Operators
- Stochastic Integration in Banach Spaces – a Survey
- Well-posedness for the Navier-Stokes equations
