A PDE approach to fractional diffusion: a space-fractional wave equation
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Publication:2315197
DOI10.1007/s00211-019-01055-5zbMath1430.35245arXiv1806.06030OpenAlexW2963227762MaRDI QIDQ2315197
Publication date: 1 August 2019
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06030
Degenerate elliptic equations (35J70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Related Items (5)
Analysis of nonlinear fractional diffusion equations with a Riemann-Liouville derivative ⋮ Polynomial estimates for transmission problems on domains with flat boundary ⋮ Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time ⋮ On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel ⋮ On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem
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Cites Work
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- Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
- Fractional elliptic equations, Caccioppoli estimates and regularity
- Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
- A fractional porous medium equation
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- An introduction to Sobolev spaces and interpolation spaces
- Numerical approximation of the fractional Laplacian via \(hp\)-finite elements, with an application to image denoising
- Continuity of the temperature in boundary heat control problems
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- Regularity results for elliptic equations in Lipschitz domains
- Nonlinear potential theory and weighted Sobolev spaces
- A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
- Theory and practice of finite elements.
- Tensor FEM for spectral fractional diffusion
- Regularity of solutions to space-time fractional wave equations: A PDE approach
- A PDE approach to fractional diffusion in general domains: a priori error analysis
- Relaxing the CFL condition for the wave equation on adaptive meshes
- Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type
- A PDE Approach to Space-Time Fractional Parabolic Problems
- Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations
- A General Fractional Porous Medium Equation
- On Fractional Laplacians
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- Nonlocal Operators with Applications to Image Processing
- Handbook of Peridynamic Modeling
- A speculative study of 2∕3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures
- Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
- Weighted Sobolev spaces and embedding theorems
- Convergence rates for adaptive finite elements
- Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons
- Differential operators on domains with conical points: precise uniform regularity estimates
- PRICING OF THE AMERICAN PUT UNDER LÉVY PROCESSES
- Optimal grading of the newest vertex bisection andH1-stability of theL2-projection
- Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- An Extension Problem Related to the Fractional Laplacian
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
- Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
- Weighted Norm Inequalities for the Hardy Maximal Function
- Nonlinear partial differential equations with applications
- Optimal stopping, free boundary, and American option in a jump-diffusion model
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