Abstract
In the spaces of classical functions with power weight, we prove the correct solvability of the Dirichlet problem for parabolic equations with nonlocal integral condition with respect to the time variable and an arbitrary power order of degeneration of coefficients with respect to the time and space variables.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 1, pp. 109–121, January, 2007.
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Pukal’s’kyi, I.D. Nonlocal Dirichlet problem for linear parabolic equations with degeneration. Ukr Math J 59, 111–125 (2007). https://doi.org/10.1007/s11253-007-0007-2
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DOI: https://doi.org/10.1007/s11253-007-0007-2