L-estimates for time fractional parabolic equations with coefficients measurable in time

By Hongjie Dong, Doyoon Kim. Advances in Mathematics, 2018

64 citations recorded by the source corpus.

We establish the $L_p$-solvability of solutions to time fractional parabolic equations when coefficients are merely measurable in the time variable. In the spatial variables, the leading coefficients are assumed to have small mean oscillations. Our results extend a recent result in [6] to a large extent.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/94d7a9a59132b0dd23bb5cd4f8f6801dfceb5263

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Vo Van Au
2. Nguyen Huy Tuan
3. Runzhang Xu

In Modeling and Simulation

1. Vo Van Au
2. Nguyen Huy Tuan
3. Runzhang Xu

Citations in the corpus

• Semilinear Caputo time-fractional pseudo-parabolic equations (2021, background): “Many important physical models and practical problems require us to consider the pseudo-parabolic model with fractional derivative rather than classical one, like the physical model considering memory effects [18, 19, 13, 48] and some corresponding engineering problems [4, 5, 7, 44, 46, 50, 56], esp”