Abstract
This paper gives the gradient estimates for the solutions of the Cauchy–Dirichlet problem on Morrey–Banach spaces. In particular, we have the estimates on the Lorentz–Morrey spaces, the Orlicz–Morrey spaces and the Morrey spaces with variable exponents. Copyright © 2022 Orthogonal Publisher and Springer Nature Switzerland AG.
| Original language | English |
|---|---|
| Pages (from-to) | 743-766 |
| Journal | Journal of Elliptic and Parabolic Equations |
| Volume | 8 |
| Issue number | 2 |
| Early online date | 09 Jul 2022 |
| DOIs | |
| Publication status | Published - Dec 2022 |
Citation
Ho, K.‑P. (2022). Gradient estimates of parabolic Cauchy–Dirichlet problems on Morrey–Banach spaces. Journal of Elliptic and Parabolic Equations, 8(2), 743-766. doi: 10.1007/s41808-022-00174-9Keywords
- Parabolic differential equations
- Cauchy–Dirichlet problem
- Morrey spaces
- Lorentz spaces
- Orlicz spaces
- Variable Lebesgue spaces
- Extrapolation theory
