Stability in measure for uncertain heat equations

Xiangfeng Yang

doi:10.3934/dcdsb.2019152

Article Contents

2019, Volume 24, Issue 12: 6533-6540. Doi: 10.3934/dcdsb.2019152

This issue Previous Article Multi-scale modeling of processes in porous media - coupling reaction-diffusion processes in the solid and the fluid phase and on the separating interfaces Next Article Cyclicity of

$ (1,3) $

-switching FF type equilibria

Stability in measure for uncertain heat equations

Xiangfeng Yang

School of Information Technology & Management, University of International, Business & Economics, Beijing 100029, China

Received: November 30, 2018

Revised: December 31, 2018

Early access: July 2019

Published: September 2019

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Abstract

Uncertain heat equation is a type of uncertain partial differential equations driven by Liu processes. As an important part in uncertain heat equation, stability analysis has not been researched as yet. This paper first introduces a concept of stability in measure for uncertain heat equation, and proves a stability theorem under strong Lipschitz condition that provides a sufficient for an uncertain heat equation being stable in measure. Moreover, some examples are given.

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Mathematics Subject Classification: Primary: 35B35, 35K05; Secondary: 93E15.

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References

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