S. Cherfaoui, A. Kessab, A. Kheloufi, “On <nobr>$2m$</nobr>-th order parabolic equations with mixed boundary conditions in non-rectangular domains”, Sib. Èlektron. Mat. Izv., 2017, Volume 14,Pages <nobr>73

This article is cited 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. Cherfaoui^a, A. Kessab^a, A. Kheloufi^bc

^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.

UDC: 517.9

MSC: 35K05, 35K55

Received October 10, 2016, published February 7, 2017

Language: English

DOI: 10.17377/semi.2017.14.009