Semilinear Li and Yau inequalities

DOI10.1007/s10231-022-01261-3OpenAlexW4294190732MaRDI QIDQ2687957

Carlo Mantegazza, Giovanni Catino, Daniele Castorina

Publication date: 7 March 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02530

zbMATH Keywords

semilinear PDEsLi and Yau estimates

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear parabolic equations (35K58) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) PDEs on manifolds (35R01)

Related Items (1)

A matrix Harnack inequality for semilinear heat equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the distributional Hessian of the distance function
• Lecture notes on mean curvature flow
• Gradient estimates and Liouville theorems for nonlinear parabolic equations on noncompact Riemannian manifolds
• On the parabolic kernel of the Schrödinger operator
• Four-manifolds with positive curvature operator
• Gradient estimates and Harnack inequalities for nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds
• Best constant in Sobolev inequality
• Optimal Liouville theorems for superlinear parabolic problems
• Gradient estimates and Harnack inequality for a nonlinear parabolic equation on complete manifolds
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
• Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure
• SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
• User’s guide to viscosity solutions of second order partial differential equations
• On the stability and instability of positive steady states of a semilinear heat equation in ℝn
• A note on quasilinear parabolic equations on manifolds
• Ancient solutions of superlinear heat equations on Riemannian manifolds
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
• Riemannian Geometry

This page was built for publication: Semilinear Li and Yau inequalities