Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
We consider an initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions. We prove comparison principle, establish the existence of a local solution, and study the problem of uniqueness and nonuniqueness.
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| Date: | 2016 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1831 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |