One-Sided Nonlocal Boundary-Value Problem for Singular Parabolic Equations
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.
English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 11, pp 1851-1864.
Citation Example: Pukalskyi I. D. One-Sided Nonlocal Boundary-Value Problem for Singular Parabolic Equations // Ukr. Mat. Zh. - 2001. - 53, № 11. - pp. 1521-1532.