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One-Sided Boundary-Value Problem with Impulsive Conditions for Parabolic Equations with Degeneration

Authors :
I. D. Pukalskyi
B. O. Yashan
Source :
Journal of Mathematical Sciences. 256:398-415
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

For a second-order parabolic equation, we consider a one-sided boundary-value problem with impulsive conditions with respect to the time variable. The coefficients of equation and the boundary conditions have power singularities of any order in time and space variables on a certain set of points. We also establish conditions for the existence and uniqueness of solution to the posed problem in Holder spaces with power weights.

Details

ISSN :
15738795 and 10723374
Volume :
256
Database :
OpenAIRE
Journal :
Journal of Mathematical Sciences
Accession number :
edsair.doi...........b0104c9d7aa50f17c645132c5ea1a2db
Full Text :
https://doi.org/10.1007/s10958-021-05434-y