This article is cited in 1 paper

On Faedo–Galerkin methods and monotony in a non-cylindrical domain for a degenerate quasi-linear equation

A. G. Podgaev, N. E. Istomina

Pacific National University, Khabarovsk

Abstract: 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.

Key words: non-cylindrical domain, monotony method, family of basic functions, quasi-linear equation.

UDC: 517.95

MSC: Primary 35A01; Secondary 35K61

Received: 14.10.2013