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Bull. Korean Math. Soc. 2021; 58(2): 451-459

Online first article December 29, 2020      Printed March 31, 2021

https://doi.org/10.4134/BKMS.b200357

Copyright © The Korean Mathematical Society.

Remarks on the infinity wave equation

Hyungjin Huh

Chung-Ang University

Abstract

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We propose the infinity wave equation which can be derived from the exponential wave equation through the limit $p \to \infty$. The solution of infinity Laplacian equation can be considered as a static solution of the infinity wave equation. We present basic observations and find some special solutions.

Keywords: Infinity wave equation, exponential wave equation, infinity Laplacian

MSC numbers: 35L80, 35L72, 34A05

Supported by: This research was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (2020R1F1A1A01072197)

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