A note on time analyticity for ancient solutions of the heat equation

DOI10.1090/proc/14830zbMath1436.35219arXiv1905.05845OpenAlexW2971660726WikidataQ126196234 ScholiaQ126196234MaRDI QIDQ5218211

Qi S. Zhang

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.05845

zbMATH Keywords

ancient solutionsbackward heat equationtime analyticityheat equation on manifolds

Mathematics Subject Classification ID

Heat equation (35K05) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items

Time analyticity for the heat equation on gradient shrinking Ricci solitons ⋮ Joint space-time analyticity of mild solutions to the Navier-Stokes equations ⋮ Time analyticity of the biharmonic heat equation, the heat equation with potentials and some nonlinear heat equations ⋮ Time analyticity for the heat equation and Navier-Stokes equations ⋮ Refined decay estimate and analyticity of solutions to the linear heat equation in homogeneous Besov spaces ⋮ Rough hypoellipticity for the heat equation in Dirichlet spaces ⋮ Time Analyticity for Nonlocal Parabolic Equations ⋮ Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition ⋮ Time regularity for local weak solutions of the heat equation on local Dirichlet spaces ⋮ Time analyticity for inhomogeneous parabolic equations and the Navier-Stokes equations in the half space ⋮ Unnamed Item ⋮ Time analyticity of solutions to the heat equation on graphs

Cites Work

• Bounding dimension of ambient space by density for mean curvature flow
• Complexity of parabolic systems
• Analytic solutions of the heat equation
• On parabolic final value problems and well-posedness
• Liouville theorem for bounded harmonic functions on manifolds and graphs satisfying non-negative curvature dimension condition
• An abstract analyticity in time for solutions of a diffusion equation
• A Well Posed Problem for the Backward Heat Equation
• SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
• Arnold‐Thom Gradient Conjecture for the Arrival Time
• On Ancient Solutions of the Heat Equation
• Geometric Analysis

This page was built for publication: A note on time analyticity for ancient solutions of the heat equation