# American Institute of Mathematical Sciences

October  2019, 15(4): 1995-2008. doi: 10.3934/jimo.2018133

## Extreme values problem of uncertain heat equation

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

* Corresponding author: Yaodong Ni

Received  March 2018 Revised  April 2018 Published  August 2018

Fund Project: The second author is supported by National Natural Science Foundation of China (Grant No. 71471038).

Uncertain heat equation is a class of uncertain partial differential equations involving Liu processes. This paper first gives the uncertainty distributions and the inverse uncertainty distributions of extreme values of solutions for uncertain heat equations. Numerical methods are designed to gain the inverse uncertainty distributions of extreme values of solutions.

Citation: Xiangfeng Yang, Yaodong Ni. Extreme values problem of uncertain heat equation. Journal of Industrial & Management Optimization, 2019, 15 (4) : 1995-2008. doi: 10.3934/jimo.2018133
##### References:

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##### References:
Inverse Uncertainty Distributions of Extreme Values in Example 4.1
Inverse Uncertainty Distributions of Extreme Values in Example 4.2
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