Ukrainian Mathematical Journal

, Volume 39, Issue 3, pp 214–219 | Cite as

A priori estimates of the generalized solutions of nonlinear parabolic systems of higher order

  • G. I. Danilyuk
  • I. V. Skrypnik
Article
  • 24 Downloads

Keywords

Generalize Solution Parabolic System Nonlinear Parabolic System 
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Literature cited

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    G. I. Danilyuk and I. V. Skrypnik, “On the partial regularity of generalized solutions of quasielliptic parabolic systems,” Dokl. Akad. Nauk SSSR,250, No. 4, 790–793 (1980).Google Scholar
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    L. Nirenberg, “On elliptic partial differential equations,” Ann. Scuola Norm. Super. Pisa. Sci. Fis. Mat., Ser. 3,13, 115–162 (1959).Google Scholar
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    E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (1970).Google Scholar
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    O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc. (1968).Google Scholar
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    M. I. Vishik, “On the solvability of boundary-value problems for quasilinear parabolic equations of higher orders,” Mat. Sb.,59, 289–325 (1962).Google Scholar
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    V. A. Solonnikov, “On the estimates in Lp of solutions of elliptic and parabolic systems,” Tr. Mat. Inst. Akad. Nauk SSSR,102, 137–160 (1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • G. I. Danilyuk
    • 1
  • I. V. Skrypnik
    • 1
  1. 1.Applied Mathematics and Mechanics InstituteAcademy of Sciences of the Ukrainian SSRDonetsk

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