Boundary-value problem for nonlinear degenerated parabolic equations with variable delay
We study boundary-value problem with Dirichlet conditions for nonlinear parabolic equations with variable delay (i.e., delay is a function of time) and degeneration at the initial time. The existence and uniqueness of the classical solution of this problem are proved. A priori estimates of this solu...
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| Date: | 2016 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1911 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We study boundary-value problem with Dirichlet conditions for nonlinear parabolic equations with variable delay (i.e.,
delay is a function of time) and degeneration at the initial time. The existence and uniqueness of the classical solution of
this problem are proved. A priori estimates of this solution are obtained. |
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