Stochastic maximal \(L^{p}\)-regularity
DOI10.1214/10-AOP626zbMath1249.60147arXiv1004.1309OpenAlexW2086649450MaRDI QIDQ414290
Lutz W. Weis, J. M. A. M. van Neerven, Mark C. Veraar
Publication date: 11 May 2012
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.1309
stochastic partial differential equations\(R\)-boundednessstochastic convolutions\(H^\infty \)-calculusstochastic maximal \(L^p\)-regularity
Smoothness and regularity of solutions to PDEs (35B65) Maximal functions, Littlewood-Paley theory (42B25) One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Harmonic analysis and PDEs (42B37)
Related Items (57)
Cites Work
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- A generalization of an inequality by N. V. Krylov
- Spectral theory in Banach spaces and harmonic analysis
- Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces
- Maximal regularity of type \(L_p\) for abstract parabolic Volterra equations
- Maximal regularity for stochastic convolutions driven by Lévy processes
- Perturbation and interpolation theorems for the \(H^\infty\)-calculus with applications to differential operators
- Stochastic evolution equations in UMD Banach spaces
- On operators with bounded imaginary powers in Banach spaces
- Maximal regularity for stochastic convolutions in \(L^p\) spaces
- Bounded \(H_ \infty\)-calculus for elliptic operators
- 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]
- Bounded holomorphic functional calculus for non-divergence form differential operators
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
- \(L_ p\)-regularity of the Cauchy problem and the geometry of Banach spaces
- Stochastic integration in UMD Banach spaces
- The functional calculus for sectorial operators
- $\gamma$-Radonifying operators -- a survey
- Holomorphic functional calculi of operators, quadratic estimates and interpolation
- On the semigroup approach to stochastic evolution equations
- On stochastic convolution in banach spaces and applications
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- On square functions associated to sectorial operators
- On $L_p $-Theory of Stochastic Partial Differential Equations in the Whole Space
- Conditions for stochastic integrability in UMD Banach spaces
- The \(H^\infty\)-calculus and sums of closed operators
- Stochastic Equations in Infinite Dimensions
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