Abstract
Uncertain heat equation is a type of uncertain partial differential equations, whose heat source is affected by uncertain interference. This paper proves an existence and uniqueness theorem of solutions for general uncertain heat equations under linear growth condition and Lipschitz condition. Moreover, for several special uncertain heat equations, the conditions of existence and uniqueness are derived.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 71471038 and 61573210).
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Yang, X., Ni, Y. Existence and uniqueness theorem for uncertain heat equation. J Ambient Intell Human Comput 8, 717–725 (2017). https://doi.org/10.1007/s12652-017-0479-3
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DOI: https://doi.org/10.1007/s12652-017-0479-3