Classical solutions of parabolic initial-boundary value problems and Hormander spaces.
For the second-order linear parabolic differential equations with complex-valued coefficients, we establish new sufficient conditions under which the generalized solutions of these problems are continuous. The conditions are formulated in the terms of belonging of the right-hand sides of these probl...
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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2016
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1916 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | For the second-order linear parabolic differential equations with complex-valued coefficients, we establish new sufficient
conditions under which the generalized solutions of these problems are continuous. The conditions are formulated in the
terms of belonging of the right-hand sides of these problems to certain anisotropic Ho¨rmander spaces. |
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