BoundaryValue Problems with Impulsive Conditions for Parabolic Equations with Degenerations
Abstract
We consider the first boundaryvalue problem and the unilateral boundaryvalue 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:

 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.springerny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 10723374
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICAL METHODS AND COMPUTING; BOUNDARYVALUE PROBLEMS; EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; SINGULARITY
Citation Formats
Isaryuk, I. M., and Pukal’s’kyi, I. D. BoundaryValue Problems with Impulsive Conditions for Parabolic Equations with Degenerations. United States: N. p., 2019.
Web. doi:10.1007/S1095801840971.
Isaryuk, I. M., & Pukal’s’kyi, I. D. BoundaryValue Problems with Impulsive Conditions for Parabolic Equations with Degenerations. United States. doi:10.1007/S1095801840971.
Isaryuk, I. M., and Pukal’s’kyi, I. D. Tue .
"BoundaryValue Problems with Impulsive Conditions for Parabolic Equations with Degenerations". United States. doi:10.1007/S1095801840971.
@article{osti_22773581,
title = {BoundaryValue Problems with Impulsive Conditions for Parabolic Equations with Degenerations},
author = {Isaryuk, I. M. and Pukal’s’kyi, I. D.},
abstractNote = {We consider the first boundaryvalue problem and the unilateral boundaryvalue 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/S1095801840971},
journal = {Journal of Mathematical Sciences},
issn = {10723374},
number = 1,
volume = 236,
place = {United States},
year = {2019},
month = {1}
}
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