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On Boundary-Value Problems for Second-Order Elliptic and Parabolic Systems

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Abstract

For nonstandard boundary-value problems for systems of equations of elliptic and parabolic types with vector boundary conditions, the well-posedness is proved. Typical examples are provided.

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References

  1. Yu.A. Dubinskii, “Expansions of Sobolev and gradient-divergence scales into sums of solenoidal and potential subspaces,” Tr. Mat. Inst. Steklova, 255, No. 5, 136–145 (2005).

    Google Scholar 

  2. Yu.A. Dubinskii, “On boundary-value problems for systems of Poisson equations in threedimensional domains,” Differ. Uravn., 49, No. 5, 610–613 (2013).

    Google Scholar 

  3. Yu.A. Dubinskii, “Some coercive problems for the system of Poisson equations,” Russ. J. Math. Phys., 20, No. 4, 402–412 (2013).

    Article  MathSciNet  MATH  Google Scholar 

  4. Yu.A. Dubinskii, “On boundary-value problems for stationary systems of Stokes equations,” MPEI Vestnik, No. 1, 94–98 (2014).

  5. Yu.A. Dubinskii, “On problems for systems of Poisson and Stokes equations,” Abstr. of the Seventh Int. Conf. on Differential and Functional Differential Equations, Moscow, 140 (2014).

  6. E.V. Golubeva, “Boundary-value problems for systems of Poisson equations in two-dimensional domains,” Probl. Mat. Anal., 77, 55–61 (2014).

    Google Scholar 

  7. R. Temam, Navier–Stokes Equations. Theory and Numerical Analysis [Russian translation], Mir, Moscow (1981).

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Authors and Affiliations

  1. National Research University “Moscow Power Institute”, Moscow, Russia

    E. V. Golubeva & Yu. A. Dubinskii

Authors
  1. E. V. Golubeva
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  2. Yu. A. Dubinskii
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Corresponding author

Correspondence to E. V. Golubeva.

Additional information

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 58, Proceedings of the Seventh International Conference on Differential and Functional Differential Equations and InternationalWorkshop “Spatio-Temporal Dynamical Systems” (Moscow, Russia, 22–29 August, 2014). Part 1, 2015.

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Golubeva, E.V., Dubinskii, Y.A. On Boundary-Value Problems for Second-Order Elliptic and Parabolic Systems. J Math Sci 233, 462–479 (2018). https://doi.org/10.1007/s10958-018-3938-2

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  • DOI: https://doi.org/10.1007/s10958-018-3938-2

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