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.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 2, pp. 32–40, April–June, 2017.
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Pukal’s’kyi, І.D., Yashan, B.О. Nonlocal Multipoint (In Time) Problem for Parabolic Equations with Degeneration. J Math Sci 243, 34–44 (2019). https://doi.org/10.1007/s10958-019-04523-3
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DOI: https://doi.org/10.1007/s10958-019-04523-3