Article Contents
Article Contents

# Stability in measure for uncertain heat equations

• 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.

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

 Citation:

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