The $L_2$-theory of generalized solutions of general linear model parabolic boundary value problems

N. V. Zhitarashu

Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 273-305.

Résumé

General linear model parabolic boundary value problems are studied (in a revised formulation) in the Sobolev spaces $\mathscr H^s(\Omega)$ ($-\infty$) of generalized functions (distributions) –the $L_2$-theory. The well-posed solvability of these problems in suitable function spaces is proved. Bibliography: 43 titles.

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