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1999, Volume 227
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Investigations in the theory of differentiable functions of many variables and its applications. Part 18
Collection of papers
Volume Editor: S. M. Nikol'skii Editor in Chief: E. F. Mishchenko
Abstract: This volume is devoted to the investigations in the theory of differentiable functions of many variables and its applications to the equations of mathematical physics.
New properties of various function spaces normed by derivatives, difference relations, and pseudodifferential operators on domains of the Euclidean space are established (embedding and extension theorems, equivalent norms, approximation of functions, and others). The existence of polynomial solutions to elliptic equations, nonlinear partial differential equations, and functional differential equations, as well as the asymptotics of the solution to the Sobolev system are also studied.
The volume is intended for scientists, postgraduates, and senior students specializing in the function theory and its applications.
ISBN: 5-02-002353-1, 5-78-460081-8
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Contents
Citation:
Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Collection of papers, Trudy Mat. Inst. Steklova, 227, ed. S. M. Nikol'skii, E. F. Mishchenko, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 319 pp.
Citation in format AMSBIB:
\Bibitem{1}
\book Investigations in the theory of differentiable functions of many variables and its applications. Part~18
\bookinfo Collection of papers
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 227
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\ed S.~M.~Nikol'skii, E.~F.~Mishchenko
\totalpages 319
\mathnet{http://mi.mathnet.ru/book240}
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http://mi.mathnet.ru/eng/book240
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Additional information
Investigations in the Theory of Differentiable Functions of Many Variables and Its Applications. Pt 18
Collection of Papers
This volume is devoted to the investigations in the theory of differentiable functions of many variables and its applications to the equations of mathematical physics.
New properties of various function spaces normed by derivatives, difference relations, and pseudodifferential operators on domains of the Euclidean space are established (embedding and extension theorems, equivalent norms, approximation of functions, and others). The existence of polynomial solutions to elliptic equations, nonlinear partial differential equations, and functional differential equations, as well as the asymptotics of the solution to the Sobolev system are also studied.
The volume is intended for scientists, postgraduates, and senior students specializing in the function theory and its applications. |
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