On the oscillation behavior of solutions to the heat equation on \(\mathbb{R}^n\)

DOI10.1016/j.jde.2019.09.021zbMath1431.35052OpenAlexW2975857723MaRDI QIDQ2285466

Dong-Ho Tsai, Mao-Sheng Chang

Publication date: 8 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.09.021

zbMATH Keywords

heat equationconvolution integral representationunbounded initial condition

Mathematics Subject Classification ID

Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Asymptotic behavior of solutions to the semidiscrete diffusion equation ⋮ On the time-delayed anomalous diffusion equations with nonlocal initial conditions ⋮ Large time behavior of temperature in two-phase heat conductors

Cites Work

• Space-time behaviour in problems of hydrodynamic type: a case study
• On stabilisation of solutions of the Cauchy problem for parabolic equations
• A NEW PROOF OF THE THEOREM ON THE STABILIZATION OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE HEAT EQUATION
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