Boundary-Value Problem with Impulsive Conditions and Degeneration for Parabolic Equations
AbstractWe 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.
How to Cite
IsaryukI. M., and PukalskyiI. D. “Boundary-Value Problem With Impulsive Conditions and Degeneration for Parabolic Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 10, Oct. 2015, pp. 1348-57, http://umj.imath.kiev.ua/index.php/umj/article/view/2071.