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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Збережено в:
Бібліографічні деталі
Дата:2016
Автори: Los’, V. M., Лось, В. М.
Формат: Стаття
Мова:Українська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2016
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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Ukrains’kyi Matematychnyi Zhurnal
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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.