On parabolic convergence of positive solutions of the heat equation

DOI10.1080/17476933.2021.1882432zbMath1495.35092arXiv2012.11234OpenAlexW3113865366MaRDI QIDQ5085395

Jayanta Sarkar

Publication date: 27 June 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11234

zbMATH Keywords

heat equationboundary behaviourFatou-type theoremsderivative of measuresparabolic convergence

Mathematics Subject Classification ID

Heat equation (35K05) Positive solutions to PDEs (35B09)

Cites Work

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• Quasi-analytic solutions of linear parabolic equations
• Some properties of solutions to weakly hypoelliptic equations
• On Fatou-Type Theorems for Non-Radial Kernels.
• The Boundary Behavior and Uniqueness of Solutions of the Heat Equation
• On the Behavior of Harmonic Functions Near a Boundary Point
• Differentiation of Measures and Initial Values of Temperatures
• Fatou and littlewood theorems for poisson integrals with respect to non-integrable kernels
• Qnique Continuation for
• Positive Temperatures on an Infinite Rod
• The Converse of the Fatou Theorem for Positive Harmonic Functions

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