Geodesic
On $2m$-th order parabolic equations with mixed boundary conditions in~non-rectangular domains
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 73-91

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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, mixed conditions
Mots-clés : anisotropic Sobolev spaces, non-rectangular domains. 
@article{SEMR_2017_14_a84,
     author = {S. Cherfaoui and A. Kessab and A. Kheloufi},
     title = {On $2m$-th order parabolic equations with mixed boundary conditions in~non-rectangular domains},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {73--91},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a84/}
}
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S. Cherfaoui; A. Kessab; A. Kheloufi. On $2m$-th order parabolic equations with mixed boundary conditions in~non-rectangular domains. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 73-91. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a84/