A weighted Sobolev space theory for the diffusion-wave equations with time-fractional derivatives on \(C^1\) domains
DOI10.3934/dcds.2021002zbMath1465.35395OpenAlexW3122915160MaRDI QIDQ2030826
Kyeong-Hun Kim, Daehan Park, Beom-Seok Han
Publication date: 8 June 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2021002
variable coefficientsCaputo fractional derivativetime-fractional equationSobolev space with weights\(C^1\) domains
Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
Related Items (2)
Cites Work
- An \(L_{q}(L_{p})\)-theory for the time-fractional evolution equations with variable coefficients
- Regularized distance and its applications
- Maximal regularity of type \(L_p\) for abstract parabolic Volterra equations
- A generalized Gronwall inequality and its application to a fractional differential equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- \(L_{p}\)-estimates for time fractional parabolic equations with coefficients measurable in time
- On \(L_p\)-theory of stochastic partial differential equations of divergence form in \(C^1\) domains
- On SPDEs with variable coefficients in one space dimension
- Global strong solvability of a quasilinear subdiffusion problem
- \(L_p\)-estimates for time fractional parabolic equations in divergence form with measurable coefficients
- Weighted \(L_q(L_{p})\)-estimate with Muckenhoupt weights for the diffusion-wave equations with time-fractional derivatives
- A Sobolev space theory for stochastic partial differential equations with time-fractional derivatives
- On stochastic partial differential equations with variable coefficients in \(C^1\) domains
- ASYMPTOTIC BEHAVIORS OF FUNDAMENTAL SOLUTION AND ITS DERIVATIVES TO FRACTIONAL DIFFUSION-WAVE EQUATIONS
- FRACTIONAL DIFFUSIVE WAVES
- Elliptic Partial Differential Equations of Second Order
- A Sobolev Space Theory of SPDE with Constant Coefficients on a Half Line
- Weighted sobolev spaces and laplace's equation and the heat equations in a half space
- On The Sobolev Space Theory of Parabolic and Elliptic Equations inC1Domains
- Fractional Calculus
- Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A weighted Sobolev space theory for the diffusion-wave equations with time-fractional derivatives on \(C^1\) domains