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Title: Boundary-Value Problems with Impulsive Conditions for Parabolic Equations with Degenerations

Abstract

We consider the first boundary-value problem and the unilateral boundary-value problem with impulsive conditions with respect to the time variable for a linear parabolic equation with power singularities of any order in the space variables. With the help of the maximum principle and a priori estimates, we establish the existence and uniqueness of the solutions of the posed problems in the Hölder spaces with power weights.

Authors:
;  [1]
  1. Fed’kovych Chernivtsi National University (Ukraine)
Publication Date:
OSTI Identifier:
22773581
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 236; Journal Issue: 1; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; BOUNDARY-VALUE PROBLEMS; EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; SINGULARITY

Citation Formats

Isaryuk, I. M., and Pukal’s’kyi, I. D. Boundary-Value Problems with Impulsive Conditions for Parabolic Equations with Degenerations. United States: N. p., 2019. Web. doi:10.1007/S10958-018-4097-1.
Isaryuk, I. M., & Pukal’s’kyi, I. D. Boundary-Value Problems with Impulsive Conditions for Parabolic Equations with Degenerations. United States. doi:10.1007/S10958-018-4097-1.
Isaryuk, I. M., and Pukal’s’kyi, I. D. Tue . "Boundary-Value Problems with Impulsive Conditions for Parabolic Equations with Degenerations". United States. doi:10.1007/S10958-018-4097-1.
@article{osti_22773581,
title = {Boundary-Value Problems with Impulsive Conditions for Parabolic Equations with Degenerations},
author = {Isaryuk, I. M. and Pukal’s’kyi, I. D.},
abstractNote = {We consider the first boundary-value problem and the unilateral boundary-value problem with impulsive conditions with respect to the time variable for a linear parabolic equation with power singularities of any order in the space variables. With the help of the maximum principle and a priori estimates, we establish the existence and uniqueness of the solutions of the posed problems in the Hölder spaces with power weights.},
doi = {10.1007/S10958-018-4097-1},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 236,
place = {United States},
year = {2019},
month = {1}
}