Schauder Estimates for Fractional Laplacians and NonLocal, One-Dimensional Singular SPDEs
From MaRDI portal
Publication:5071213
DOI10.1137/20M1382829zbMath1492.60198OpenAlexW4224086732MaRDI QIDQ5071213
Leandro Chiarini, Claudio Landim
Publication date: 20 April 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1382829
non-local operatorfractional Laplace operatorGaussian multiplicative chaossingular SPDESchauder estimats
Smoothness and regularity of solutions to PDEs (35B65) White noise theory (60H40) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11) Singular stochastic partial differential equations (60H17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gaussian multiplicative chaos and applications: a review
- A theory of regularity structures
- The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
- Function spaces and wavelets on domains
- Gaussian multiplicative chaos revisited
- Schauder estimates by scaling
- Strong solutions to the stochastic quantization equations.
- Quasilinear SPDEs via rough paths
- An analyst's take on the BPHZ theorem
- Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
- Controlling rough paths
- Time dependent critical fluctuations of a one dimensional local mean field model
- Schauder estimates for a class of non-local elliptic equations
- Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
- The magnetization ripple: a nonlocal stochastic PDE perspective
- Dynamical Liouville
- Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
- Model spaces of regularity structures for space-fractional SPDEs
- The dynamical sine-Gordon model
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Convergence of the Two-Dimensional Dynamic Ising-Kac Model to Φ24
- Fourier Analysis and Nonlinear Partial Differential Equations
- Stochastic PDEs, Regularity structures, and interacting particle systems
- Gaussian multiplicative chaos and Liouville quantum gravity
- Dynamical Fluctuations at the Critical Point: Convergence to a Nonlinear Stochastic PDE
- Renormalization of crossing probabilities in the planar random-cluster model
- Log-correlated Gaussian Fields: An Overview
- Random Fields and Geometry