Problem with free boundary for the systems of equations of reaction-diffusion type
We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions are given in the nonlocal form. The a priori estimates of the H¨older norms are established. These estimates are used to prove the existence and uniqueness of the solution.
Збережено в:
| Дата: | 2017 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2017
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1812 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions
are given in the nonlocal form. The a priori estimates of the H¨older norms are established. These estimates are used to
prove the existence and uniqueness of the solution. |
|---|