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1999, Volume 227  

| General information | Contents |


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

Full text: 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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    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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