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On the oscillation behavior of solutions to the heat equation on Rn

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Abstract We study the oscillation behavior of solutions to the heat equation on R n and give some interesting examples. We compare the oscillation behavior of the initial data and… Click to show full abstract

Abstract We study the oscillation behavior of solutions to the heat equation on R n and give some interesting examples. We compare the oscillation behavior of the initial data and the oscillation behavior of the solution as t → ∞ .

Keywords: solutions heat; oscillation behavior; heat equation; behavior solutions

Journal Title: Journal of Differential Equations
Year Published: 2020

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