Fractional diffusion-wave equations: hidden regularity for weak solutions

DOI10.1515/fca-2021-0044zbMath1498.35586arXiv2007.13581OpenAlexW3195955019MaRDI QIDQ2236846

Daniela Sforza, Paola Loreti

Publication date: 26 October 2021

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.13581

zbMATH Keywords

Riemann-Liouville fractional integralCaputo fractional derivativefractional diffusion-wave equationshidden regularity

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Wave equation (35L05) Fractional partial differential equations (35R11)

Related Items (2)

Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution ⋮ Trace regularity for biharmonic evolution equations with Caputo derivatives

Cites Work

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• Propagation speed of the maximum of the fundamental solution to the fractional diffusion-wave equation
• A pseudo-extractor approach to hidden boundary regularity for the wave equation with mixed boundary conditions
• Too much regularity may force too much uniqueness
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms
• Semigroups of linear operators and applications to partial differential equations
• The fundamental solutions for the fractional diffusion-wave equation
• Integrodifferential equation which interpolates the heat equation and the wave equation
• Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations
• Operator theoretic treatment of linear Abel integral equations of first kind
• A semilinear integro-differential equation: global existence and hidden regularity
• Time-fractional diffusion equation in the fractional Sobolev spaces
• Interpolation Theory
• Hidden regularity for semilinear hyperbolic partial differential equations
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

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