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Ukrainian Mathematical Journal

, Volume 71, Issue 5, pp 735–748 | Cite as

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

  • I. D. Pukalskyi
  • B. O. YashanEmail author
Article
  • 4 Downloads

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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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Fed’kovych Chernivtsi National UniversityChernivtsiUkraine

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