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Boundary-Value Problem with Impulsive Action for a Parabolic Equation with Degeneration

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Ukrainian Mathematical Journal Aims and scope

For a second-order parabolic equation, we consider a problem with oblique derivative and impulsive action. The coefficients of the equation and the boundary condition have power singularities of any order in the time and space variables on a certain set of points. We establish conditions for the existence and uniqueness of the solution of the posed problem in Hölder spaces with power weight.

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Authors and Affiliations

  1. Fed’kovych Chernivtsi National University, Chernivtsi, Ukraine

    I. D. Pukalskyi & B. O. Yashan

Authors
  1. I. D. Pukalskyi
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  2. B. O. Yashan
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Correspondence to B. O. Yashan.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 5, pp. 645–655, May, 2019.

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Pukalskyi, I.D., Yashan, B.O. Boundary-Value Problem with Impulsive Action for a Parabolic Equation with Degeneration. Ukr Math J 71, 735–748 (2019). https://doi.org/10.1007/s11253-019-01674-z

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  • DOI: https://doi.org/10.1007/s11253-019-01674-z

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