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<p>We consider a problem with impulsive action for a parabolic equation of order 2<i>b</i>. The coefficients of this equation have power singularities of any order with respect to time and space variables on a certain set of points. The estimates for the solution of the problem and its derivatives were established in Hölder spaces with power weights. The order of the power weight is determined via the orders of the power singularities and degeneracies of the coefficients of 2<i>b</i>-parabolic equation.</p>

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Problem with Impulsive Effect for 2b-Parabolic Equation with Degeneracy

  • 期刊论文

  • 发表日期：

    2025年7月26日

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  • I. D. Pukal’s’kyi,
  • B. O. Yashan

摘要

We consider a problem with impulsive action for a parabolic equation of order 2b. The coefficients of this equation have power singularities of any order with respect to time and space variables on a certain set of points. The estimates for the solution of the problem and its derivatives were established in Hölder spaces with power weights. The order of the power weight is determined via the orders of the power singularities and degeneracies of the coefficients of 2b-parabolic equation.