Regularity theory for a new class of fractional parabolic stochastic evolution equations
DOI10.1007/S40072-023-00316-7zbMATH Open1545.60079MaRDI QIDQ6606155
Joshua Willems, Kristin Kirchner
Publication date: 16 September 2024
Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)
mild solutionstrongly continuous semigroupsMatérn covariancemean-square differentiabilitynonlocal space-time differential operatorsspatiotemporal Gaussian processes
One-parameter semigroups and linear evolution equations (47D06) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
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- Title not available (Why is that?)
- An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
- The Rational SPDE Approach for Gaussian Random Fields With General Smoothness
- Extension properties and boundary estimates for a fractional heat operator
- A comparison between Markov approximations and other methods for large spatial data sets
- Stochastic partial differential equations: an introduction
- Nonhomogeneous boundary conditions for the spectral fractional Laplacian
- Spatial models generated by nested stochastic partial differential equations, with an application to global ozone mapping
- Fractional stochastic evolution equations with Lévy noise.
- Covariance approximation for large multivariate spatial data sets with an application to multiple climate model errors
- Spatiotemporal random fields associated with stochastic fractional Helmholtz and heat equations
- Recent advances to model anisotropic space-time data
- Semigroups of linear operators and applications to partial differential equations
- Interpolation of spatial data. Some theory for kriging
- Spatio-temporal modeling of particulate matter concentration through the SPDE approach
- Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise
- Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization
- Regularity estimates for nonlocal space-time master equations in bounded domains
- A general framework for SPDE-based stationary random fields
- On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients
- Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle-Matérn fields
- Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise
- The functional calculus for sectorial operators
- Monte Carlo and quasi-Monte Carlo methods 2012. Proceedings of the 10th international conference on `Monte Carlo and quasi-Monte Carlo methods in scientific computing', Sydney, Australia, February 13--17, 2012
- Equivalence of measures and asymptotically optimal linear prediction for Gaussian random fields with fractional-order covariance operators
- Analysis in Banach Spaces
- Semilinear Stochastic Integral Equations in L p
- Exploring a New Class of Non-stationary Spatial Gaussian Random Fields with Varying Local Anisotropy
- Covariance functions that are stationary or nonstationary in space and stationary in time
- Regularity of solutions of linear stochastic equations in hilbert spaces
- One-Parameter Semigroups for Linear Evolution Equations
- An Approach to Statistical Spatial-Temporal Modeling of Meteorological Fields
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Nonseparable, Stationary Covariance Functions for Space–Time Data
- Classes of Nonseparable, Spatio-Temporal Stationary Covariance Functions
- Analysis in Banach Spaces
- Fractional random fields associated with stochastic fractional heat equations
- Sequential Data Assimilation Techniques in Oceanography
- Harnack Inequalities and Hölder Estimates for Master Equations
- Numerical solution of fractional elliptic stochastic PDEs with spatial white noise
- Multilevel approximation of Gaussian random fields: Fast simulation
- A Bayesian General Linear Modeling Approach to Cortical Surface fMRI Data Analysis
- Stochastic Equations in Infinite Dimensions
- Regularity Theory and Extension Problem for Fractional Nonlocal Parabolic Equations and the Master Equation
- Stochastic Partial Differential Equation Based Modelling of Large Space–Time Data Sets
- Stochastic Partial Differential Equations with Levy Noise
- Space–Time Covariance Functions
- Local Lipschitz continuity in the initial value and strong completeness for nonlinear stochastic differential equations
- A diffusion-based spatio-temporal extension of Gaussian Matérn fields
- 30 years of space-time covariance functions
- Hierarchical modeling in spatial epidemiology
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