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Trudy Matematicheskogo Instituta imeni V.A. 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
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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.
Received in November 2000
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: V. M. Tyurin, “Generalized Admissibility, Well-Definedness, and Invertibility of Linear Partial Differential Operators”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 343–346; Proc. Steklov Inst. Math., 236 (2002), 330–333
Citation in format AMSBIB
\Bibitem{Tyu02}
\by V.~M.~Tyurin
\paper Generalized Admissibility, Well-Definedness, and Invertibility of Linear Partial Differential Operators
\inbook Differential equations and dynamical systems
\bookinfo Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 236
\pages 343--346
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm305}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931035}
\zmath{https://zbmath.org/?q=an:1018.35018}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 236
\pages 330--333
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