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Coercive solvability of a generalized Cauchy-Riemann system in the SpaceL p(E)

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Abstract

For an inhomogeneous generalized Cauchy-Riemann system with nonsmooth coefficients separated from zero, we establish conditions for the solvability and estimation of a weighted solution and its first-order derivatives.

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References

  1. IN. Vekua,Generalized Analytic Functions [in Russian], Moscow (1959).

  2. L. Bers,Theory of Pseudo-Analytic Functions, New York (1953).

  3. V. S. Vinogradov, “On the Liouville theorem for generalized analytic functions,”Dokl. Akad. Nauk SSSR,183, No. 3, 503–506 (1968).

    MathSciNet  Google Scholar 

  4. V. S. Vinogradov, “On the Liouville theorems for the equation of generalized analytic functions,”Differents. Uravn.,16, No. 1, 42–46 (1980).

    MATH  Google Scholar 

  5. E. Mukhmadiev and S. Baizaev, “On the theory of bounded solutions of a generalized Cauchy-Riemann system,”DokL Akad. NaukSSSR,287, No. 2, 280–283 (1986).

    Google Scholar 

  6. K. N. Ospanov and R. U. Segizbaeva, “On the conditions of coercive solvability of a generalized Cauchy-Riemann system,”IzyAkad. Nauk Kaz. SSR, No. 5, 24–27 (1989).

    Google Scholar 

  7. K. N. Ospanov, “The solvability and the properties of solutions of a nonlinear generalized Beltrami system with unbounded coefficients,”in:New Investigations in Computing and Applied Mathematics [in Russian], Karaganda (1993), pp. 38–49.

  8. I. S Gradshtein and I. M. Ryzhik,Tables of Integrals, Sums of Series and Products [in Russian], Fizmatgiz, Moscow 1962.

    Google Scholar 

  9. S. M. Nikol’skii,Approximation of Functions of Many Variables and Imbedding Theorems [in Russian], Nauka, Moscow 1977.

    Google Scholar 

  10. M. O. Otelbaev,Estimates of the Spectrum of the Sturm-Liouville Operator [in Russian], Gylym, Almaty 1990.

    MATH  Google Scholar 

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Authors
  1. K. N. Ospanov
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Ospanov, K.N. Coercive solvability of a generalized Cauchy-Riemann system in the SpaceL p(E). Ukr Math J 48, 1768–1775 (1996). https://doi.org/10.1007/BF02529497

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  • DOI: https://doi.org/10.1007/BF02529497

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