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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2002 Volume 236, Pages 343–346 (Mi tm305)
Generalized Admissibility, Well-Definedness, and Invertibility of Linear Partial Differential Operators

V. M. Tyurin

Lipetsk State Technical University

Abstract: It is shown that the concepts of generalized admissibility (Massera) and well-definedness (Zhikov) for linear partial differential operators on $\mathbb R^n$ are equivalent in the Hilbert space. Applications are considered.

UDC: 517.98

Received in November 2000


 English version: Proceedings of the Steklov Institute of Mathematics, 2002, 236, 330–333

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