On the oscillation behavior of solutions to the one-dimensional heat equation

Dong-Ho Tsai; Chia-Hsing Nien

doi:10.3934/dcds.2019164

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2019, Volume 39, Issue 7: 4073-4089. Doi: 10.3934/dcds.2019164

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On the oscillation behavior of solutions to the one-dimensional heat equation

Dong-Ho Tsai^1, and
Chia-Hsing Nien^2,

1.
Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan
2.
Department of Financial Engineering, Providence University, Taichung 43301, Taiwan

Received: August 31, 2018

Published: April 2019

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Abstract

We study the oscillation behavior of solutions to the one-dimensional heat equation and give some interesting examples. We also demonstrate a simple ODE method to find explicit solutions of the heat equation with certain particular initial conditions.

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Mathematics Subject Classification: 35K05, 35K15.

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References

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