Regularity of solutions to space-time fractional wave equations: A PDE approach
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Publication:2328562
DOI10.1515/fca-2018-0067zbMath1427.35335arXiv1711.06186OpenAlexW2963256772MaRDI QIDQ2328562
Abner J. Salgado, Enrique Otárola
Publication date: 10 October 2019
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.06186
weighted Sobolev spaceswell-posednessCaputo fractional derivativefractional diffusionfractional derivatives and integralsregularity estimatesspace-time fractional wave equation
Smoothness and regularity of solutions to PDEs (35B65) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
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- Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
- Analysis of a meshless method for the time fractional diffusion-wave equation
- Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- On existence and uniqueness of solutions for semilinear fractional wave equations
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A compact difference scheme for the fractional diffusion-wave equation
- A fractional porous medium equation
- Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping
- An introduction to Sobolev spaces and interpolation spaces
- Continuity of the temperature in boundary heat control problems
- Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Nonlinear potential theory and weighted Sobolev spaces
- Tensor FEM for spectral fractional diffusion
- A PDE approach to fractional diffusion in general domains: a priori error analysis
- Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium
- Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type
- A fully discrete difference scheme for a diffusion-wave system
- Uniqueness in inverse boundary value problems for fractional diffusion equations
- A General Fractional Porous Medium Equation
- Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Weighted Sobolev spaces and embedding theorems
- Numerical solution of an evolution equation with a positive-type memory term
- $hp$-Finite Elements for Fractional Diffusion
- An Extension Problem Related to the Fractional Laplacian
- Mittag-Leffler Functions, Related Topics and Applications
- 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
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