An optimal parabolic estimate and its applications in prescribing scalar curvature on some open manifolds with Ricci \(\geq 0\)

DOI10.1007/s002080050351zbMath0974.53031OpenAlexW2028100311WikidataQ124937333 ScholiaQ124937333MaRDI QIDQ1568700

Qi S. Zhang

Publication date: 20 November 2000

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050351

zbMATH Keywords

scalar curvaturegeodesic ballconformal metricparabolic Cauchy problemscalar curvature bounded belowuniformly conformal metrics

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (10)

Sharp Gaussian upper bounds for Schrödinger heat kernel on gradient shrinking Ricci solitons ⋮ Schrödinger heat kernel upper bounds on gradient shrinking Ricci solitons ⋮ The quantizing effect of potentials on the critical number of reaction-diffusion equations ⋮ Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains. ⋮ Positive supersolutions to general nonlinear elliptic equations in exterior domains ⋮ Positive super-solutions to semi-linear second-order non-divergence type elliptic equations in exterior domains ⋮ Solvability conditions for some semi-linear parabolic equations ⋮ Existence and nonexistence of the global solution for the semilinear parabolic system on Riemannian manifold ⋮ Gaussian bounds of heat kernels for Schrödinger operators on Riemannian manifolds ⋮ Second-order semilinear elliptic inequalities in exterior domains.

This page was built for publication: An optimal parabolic estimate and its applications in prescribing scalar curvature on some open manifolds with Ricci \(\geq 0\)