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This article is cited in 4 scientific papers (total in 4 papers)
Differentical equations, dynamical systems and optimal control
On $2m$-th order parabolic equations with mixed boundary conditions in non-rectangular domains
S. Cherfaouia, A. Kessaba, A. Kheloufibc a Department of Mathematics,
University Haouari Boumediene,
16 111 Bab-Ezzouar, Algeria
b Lab. de Mathématiques Appliquées, Université de Bejaia, 6000 Béjaia, Algérie
c Lab. e.d.p.n.l. and Hist. of Maths, Ecole Normale Supérieure
16050-Kouba, Algiers, Algeria
Abstract:
This article is devoted to the analysis of a one-space dimensional high-order parabolic equation, subject to mixed boundary conditions. The problem is set in a (possibly non-regular) non-rectangular domain and the right hand side term of the equation is taken in a Lebesgue space.
Keywords:
high-order parabolic equations, anisotropic Sobolev spaces, mixed conditions, non-rectangular domains.
Received October 10, 2016, published February 7, 2017
Citation:
S. Cherfaoui, A. Kessab, A. Kheloufi, “On $2m$-th order parabolic equations with mixed boundary conditions in non-rectangular domains”, Sib. Èlektron. Mat. Izv., 14 (2017), 73–91
Linking options:
https://www.mathnet.ru/eng/semr763 https://www.mathnet.ru/eng/semr/v14/p73
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