Geodesic
Solvability boundary value problem for degenerate quasilinear parabolic equation in a domain with nontube boundary
Dalʹnevostočnyj matematičeskij žurnal, Tome 1 (2000) no. 1, pp. 63-73 
N. E. Istomina. Solvability boundary value problem for degenerate quasilinear parabolic equation in a domain with nontube boundary. Dalʹnevostočnyj matematičeskij žurnal, Tome 1 (2000) no. 1, pp. 63-73. http://geodesic.mathdoc.fr/item/DVMG_2000_1_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we consider a quasilinear parabolic equation in nontube domain, which degenerate on a solution. We suppose the essential boundedness of the derivative of the function that define the curvilinear boundary, and prove an existence and uniqness theorems for the first boundary-value problem. We use compactness methods for functions from Banach space scale. At the Preliminary part establish abstract theorems about completeness certain system of function in nontube domain.

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