Nonlocal Multipoint (In Time) Problem for Parabolic Equations with Degeneration


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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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