Gradient estimates for a nonlinear parabolic equation with Dirichlet boundary condition

DOI10.2996/kmj/kmj45106zbMath1487.35139arXiv2112.06165OpenAlexW4200631393MaRDI QIDQ2134233

Jia-Yong Wu, Xuenan Fu

Publication date: 6 May 2022

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.06165

zbMATH Keywords

gradient estimateLiouville theoremmanifold with boundarysmooth metric measure spaceBakry-Emery Ricci curvature

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear parabolic equations (35K58) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (3)

Elliptic gradient estimates for a nonlinear equation with Dirichlet boundary condition ⋮ Liouville theorem for harmonic maps from Riemannian manifold with compact boundary ⋮ Triviality of bounded solutions and gradient estimates for nonlinear \(f\)-heat equations on complete smooth metric measure spaces

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