Geodesic
On Faedo--Galerkin methods and monotony in a non-cylindrical domain for a degenerate quasi-linear equation
Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 1, pp. 73-89

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In this article a monotony method for nonstationary equations adapt to noncylindrical domains. Existence theorems are proved. A family of basic functions constructed. These functions have a smooth parameter and a completeness property for every one. 
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     author = {A. G. Podgaev and N. E. Istomina},
     title = {On {Faedo--Galerkin} methods  and monotony in a non-cylindrical domain for a degenerate quasi-linear equation},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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A. G. Podgaev; N. E. Istomina. On Faedo--Galerkin methods  and monotony in a non-cylindrical domain for a degenerate quasi-linear equation. Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 1, pp. 73-89. http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a6/