Sobolev solutions of parabolic equation in a complete riemannian manifold

zbMath1448.58019arXiv1812.04411MaRDI QIDQ5125836

Eric Amar

Publication date: 2 October 2020

Full work available at URL: https://arxiv.org/abs/1812.04411

zbMATH Keywords

Riemannian manifoldparabolic equationmetric bundle

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) PDEs on manifolds (35R01)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of the Laplacian on a complete Riemannian manifold
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Sobolev spaces on Riemannian manifolds
• Curvature and the eigenforms of the Laplace operator
• $L^p-L^q$ ESTIMATES FOR PARABOLIC SYSTEMS IN NON-DIVERGENCE FORM WITH VMO COEFFICIENTS
• MAPPING PROPERTIES OF HEAT KERNELS, MAXIMAL REGULARITY, AND SEMI-LINEAR PARABOLIC EQUATIONS ON NONCOMPACT MANIFOLDS
• Sobolev inequalities for Riemannian bundles

This page was built for publication: Sobolev solutions of parabolic equation in a complete riemannian manifold