Boundary-Value Problems with Impulsive Conditions for Parabolic Equations with Degenerations
- Authors: Іsaryuk І.М.1, Pukal’s’kyi І.D.1
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Affiliations:
- Fed’kovych Chernivtsi National University
- Issue: Vol 236, No 1 (2019)
- Pages: 53-70
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242171
- DOI: https://doi.org/10.1007/s10958-018-4097-1
- ID: 242171
Cite item
Abstract
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.
About the authors
І. М. Іsaryuk
Fed’kovych Chernivtsi National University
Email: Jade.Santos@springer.com
Ukraine, Chernivtsi
І. D. Pukal’s’kyi
Fed’kovych Chernivtsi National University
Email: Jade.Santos@springer.com
Ukraine, Chernivtsi