2017
Том 69
№ 6

All Issues

Boundary-Value Problem with Impulsive Conditions and Degeneration for Parabolic Equations

Isaryuk I. M., Pukal'skii I. D.


Abstract

We consider the second boundary-value problem for a parabolic equation with power singularities in the coefficients of space variables and impulsive conditions in the time variable. By using the maximum principle and a priori estimates, we establish the existence and uniqueness of the solution of posed problem in Hölder spaces with power weights.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 10, pp 1515-1526.

Citation Example: Isaryuk I. M., Pukal'skii I. D. Boundary-Value Problem with Impulsive Conditions and Degeneration for Parabolic Equations // Ukr. Mat. Zh. - 2015. - 67, № 10. - pp. 1348-1357.