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Auxiliary Properties of Evolution Inclusions Solutions for Earth Data Processing

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Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 27))

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Abstract

A great number of collectives of mathematicians, mechanicians, geophysicists (mainly theorists), engineers goes in for qualitative investigation of nonlinear mathematical models of evolution processes and fields of different nature, in particular, problems deal with the dynamics of solutions of non-stationary problems. Far from complete list of results concern the given direction is in works [4, 5, 7, 9–17, 19].

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Notes

  1. 1.

    That is, V is a real reflexive separable Banach space embedded into a real Hilbert space H continuously and densely, H is identified with its conjugated space H  ∗ , V  ∗  is a dual space to V. So, we have such chain of continuous and dense embeddings: \(V \subset H \equiv {H}^{{\ast}}\subset {V }^{{\ast}}\) (see, for example, [42]).

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Authors and Affiliations

  1. Institute for Applied System Analysis, National Academy of Science National Technical University of Ukraine, Kyiv, Ukraine

    Mikhail Z. Zgurovsky

  2. Kyiv Polytechnic Institute Institute for Applied System Analysis, National Technical University of Ukraine, Kyiv, Ukraine

    Pavlo O. Kasyanov, Oleksiy V. Kapustyan & Nina V. Zadoianchuk

  3. Centro de Investigación Operativa, Univ. Miguel Hernández de Elche, Alicante, Spain

    José Valero

Authors
  1. Mikhail Z. Zgurovsky
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  2. Pavlo O. Kasyanov
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  3. Oleksiy V. Kapustyan
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  4. José Valero
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  5. Nina V. Zadoianchuk
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Zgurovsky, M.Z., Kasyanov, P.O., Kapustyan, O.V., Valero, J., Zadoianchuk, N.V. (2012). Auxiliary Properties of Evolution Inclusions Solutions for Earth Data Processing. In: Evolution Inclusions and Variation Inequalities for Earth Data Processing III. Advances in Mechanics and Mathematics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28512-7_2

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