Integral representation of solutions of one parabolic equation with growing coefficients in the group of minor terms
For a degenerate parabolic equation of the second order with constant coefficients in senior terms and with growing coefficients in minor terms, we prove the representation theorems in the form of the Poisson integrals for the solutions of the Cauchy problem and for the solutions defined in an open...
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| Дата: | 2015 |
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| Автори та афіліації: |
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| Ключові слова: | keywords |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://trim.imath.kiev.ua/index.php/trim/article/view/129 |
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| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Репозитарії
Transactions of Institute of Mathematics of NAS of Ukraine| Резюме: | For a degenerate parabolic equation of the second order with constant coefficients in senior terms and with growing coefficients in minor terms, we prove the representation theorems in the form of the Poisson integrals for the solutions of the Cauchy problem and for the solutions defined in an open layer and beloning to a special weight $L_p$-spaces. |
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