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Global solutions of a two-dimensional initial boundary-value problem for a system of semilinear magnetoelasticity equations

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Abstract

We prove the theorem on the existence and uniqueness of global solutions of a system of semilinear magnetoelasticity equations in a two-dimensional space.

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References

  1. O. M. Botsenyuk, “On the solvability of an initial boundary-value problem for a system of semilinear magnetoelasticity equations,” Ukr. Mat. Zh., 44, No. 9, 1181–1185 (1992).

    Article  MathSciNet  Google Scholar 

  2. J.-L. Lions and E. Magenes, Non-Homogeneous Boundary-Value Problems and Applications [Russian translation], Mir, Moscow 1971.

    Google Scholar 

  3. J.-L. Lions and E. Magenes, Non-Homogeneous Boundary-Value Problems and Applications, Springer, Berlin 1972.

    Google Scholar 

  4. P. Grisvard, “Caracterisation de quelques espaces d’interpolation,” Arch. Ration. Mech. Anal., 25, 40–63 (1967).

    Article  MATH  MathSciNet  Google Scholar 

  5. H. Triebel, Interpolation Theory. Function Spaces. Differential Operators [Russian translation], Mir, Moscow 1980.

    MATH  Google Scholar 

  6. J. Bergh and J. Lofstrom, Interpolation Spaces. An Introduction [Russian translation], Mir, Moscow 1980.

    Google Scholar 

  7. H. Engler, “An alternative proof of the Brezis-Wainger inequality,” Commun. Part. Different. Equat., 14, No. 4, 5451–5544 (1989).

    MathSciNet  Google Scholar 

  8. H. Brezis and T. Gallouet, “Nonlinear Schrodinger evolution equations,” J. Nonlin. Anal, 4, No. 4, 677–681 (1980).

    Article  MATH  MathSciNet  Google Scholar 

  9. H. Brezis and S. Wainger, “A note on limiting cases of Sobolev imbeddings,” Commun. Part. Different. Equat., 5, 773–789 (1980).

    Article  MATH  MathSciNet  Google Scholar 

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Botsenyuk, O.M. Global solutions of a two-dimensional initial boundary-value problem for a system of semilinear magnetoelasticity equations. Ukr Math J 48, 181–188 (1996). https://doi.org/10.1007/BF02372044

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  • DOI: https://doi.org/10.1007/BF02372044

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