The heat equation in time dependent domains with insulated boundaries

Chris Burdzy; Zhen Qing Chen; John Sylvester

doi:10.1016/j.jmaa.2004.02.032

The heat equation in time dependent domains with insulated boundaries

Chris Burdzy, Zhen Qing Chen, John Sylvester^*

^*Corresponding author for this work

University of Washington

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We study the heat equation in domains in Rⁿ with insulated fast moving boundaries. We prove existence and uniqueness theorems in the case that the boundary moves at speeds that are square integrable.

Original language	English
Pages (from-to)	581-595
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	294
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2004.02.032
Publication status	Published - 15 Jun 2004
Externally published	Yes

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Burdzy, C., Chen, Z. Q., & Sylvester, J. (2004). The heat equation in time dependent domains with insulated boundaries. Journal of Mathematical Analysis and Applications, 294(2), 581-595. https://doi.org/10.1016/j.jmaa.2004.02.032

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AU - Sylvester, John

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The heat equation in time dependent domains with insulated boundaries

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