The sparse representation related with fractional heat equations
DOI10.1007/S10473-024-0211-2arXiv2207.10078OpenAlexW4391568332WikidataQ128505434 ScholiaQ128505434MaRDI QIDQ6192415
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Publication date: 11 March 2024
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.10078
reproducing kernel Hilbert spacesparse representationdictionaryapproximation to the identityfractional heat equations
Heat equation (35K05) Approximation by other special function classes (41A30) Heat kernel (35K08) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)
Cites Work
- Fractional elliptic equations, Caccioppoli estimates and regularity
- A parabolic problem with a fractional time derivative
- Ten equivalent definitions of the fractional Laplace operator
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Estimates on Green functions and Poisson kernels for symmetric stable processes
- Reproducing kernel sparse representations in relation to operator equations
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- Maximum principles, extension problem and inversion for nonlocal one-sided equations
- Heat kernel estimates for critical fractional diffusion operators
- Some Theorems on Stable Processes
- Algorithm of Adaptive Fourier Decomposition
- Sparse representation of approximation to identity
- Fractional Calculus
- An Extension Problem Related to the Fractional Laplacian
- Two‐dimensional adaptive Fourier decomposition
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