Boundary-Value Problems with Impulsive Conditions for Parabolic Equations with Degenerations


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We consider the first boundary-value problem and the unilateral boundary-value problem with impulsive conditions with respect to the time variable for a linear parabolic equation with power singularities of any order in the space variables. With the help of the maximum principle and a priori estimates, we establish the existence and uniqueness of the solutions of the posed problems in the Hölder spaces with power weights.

作者简介

І. Іsaryuk

Fed’kovych Chernivtsi National University

Email: Jade.Santos@springer.com
乌克兰, Chernivtsi

І. Pukal’s’kyi

Fed’kovych Chernivtsi National University

Email: Jade.Santos@springer.com
乌克兰, Chernivtsi

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