Abstract
In spaces of classical functions with power weight, we prove the existence and uniqueness of a solution of a one-sided nonlocal boundary-value problem for parabolic equations with an arbitrary power order of degeneracy of coefficients. We obtain an estimate for the solution of this problem in the corresponding spaces.
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Pukal's'kyi, I.D. One-Sided Nonlocal Boundary-Value Problem for Singular Parabolic Equations. Ukrainian Mathematical Journal 53, 1851–1864 (2001). https://doi.org/10.1023/A:1015254930399
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DOI: https://doi.org/10.1023/A:1015254930399