Affiliation:
1. School of Mathematics Harbin Institute of Technology Harbin China
2. School of Mathematics and Institute for Advanced Study in Mathematics Harbin Institute of Technology Harbin China
Abstract
AbstractWe consider the fully nonlocal diffusion equations with nonnegative ‐data. Based on the approximation and energy methods, we prove the existence and uniqueness of nonnegative entropy solutions for such problems. In particular, our results are valid for the time‐space fractional Laplacian equations.
Funder
National Natural Science Foundation of China