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Solubility of the inverse problem for a degenerate parabolic equation in a domain with a free boundary
Hryntsiv N. M. 1
1 Ivan Franko National University of Lviv, Ivan Franko National University of Lviv, 79000, Ukraine
Keywords: inverse problem, parabolic equation, free boundary
Abstract

There were established conditions of existence and uniqueness of a solution of inverse problem for parabolic equation with unknown time-dependent coefficient at the higher-order derivative in a free boundary domain. It was assumed that unknown coefficient vanishes at initial moment as a power tβ, 0<β<1" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">.

Cite
ACS Style
Hryntsiv, N.M. Solubility of the inverse problem for a degenerate parabolic equation in a domain with a free boundary. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Hryntsiv NM. Solubility of the inverse problem for a degenerate parabolic equation in a domain with a free boundary. Bukovinian Mathematical Journal. 2018; 1(314).
Chicago/Turabian Style
N. M. Hryntsiv. 2018. "Solubility of the inverse problem for a degenerate parabolic equation in a domain with a free boundary". Bukovinian Mathematical Journal. 1 no. 314.
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