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- W4283713170 abstract "Let $(M^{n},g)$ be a complete Riemannian manifold. In this paper, we establish a space-time gradient estimates for positive solutions of nonlinear parabolic equations $$partial_{t}u(x,t)=Delta u(x,t)+a u(x,t)(log u(x,t))^b + q(x,t)A(u(x,t)),$$ on geodesic balls $B(O,r)$ in $M$ with $0<rleq r$ for $p>frac{n}{2}$ when integral Ricci curvature $k(p,1)$ is small enough. By integrating the gradient estimates, we find the corresponding Harnack inequalities." @default.
- W4283713170 created "2022-06-30" @default.
- W4283713170 creator A5069071723 @default.
- W4283713170 date "2022-06-23" @default.
- W4283713170 modified "2023-10-15" @default.
- W4283713170 title "Harnack inequality for nonlinear parabolic equations under integral Ricci curvature bounds" @default.
- W4283713170 doi "https://doi.org/10.48550/arxiv.2206.13229" @default.
- W4283713170 hasPublicationYear "2022" @default.
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