Email this article Nonlocal Multipoint (In Time) Problem for Parabolic Equations with Degeneration
- Authors: Pukal’s’kyi І.D.1, Yashan B.О.1
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Affiliations:
- Fedkovych Chernivtsi National University
- Issue: Vol 243, No 1 (2019)
- Pages: 34-44
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/243054
- DOI: https://doi.org/10.1007/s10958-019-04523-3
- ID: 243054
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Abstract
We consider a boundary-value multipoint (in time) problem with Dirichlet condition for a second-order parabolic equation with power singularities and degenerations of any order in coefficients with respect to spatial variables in a certain set of points. The conditions of existence and uniqueness of the solution of the posed problem in Hölder spaces with power weight are established.
About the authors
І. D. Pukal’s’kyi
Fedkovych Chernivtsi National University
Author for correspondence.
Email: melissa.delgado@springer.com
Ukraine, Chernivtsi
B. О. Yashan
Fedkovych Chernivtsi National University
Email: melissa.delgado@springer.com
Ukraine, Chernivtsi
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