Некласична гранична задача для рівняння Лапласа на площині з розрізом
Анотація
Розглянемо рівняння Лапласа на площині з розрізом з некласичними граничними умовами. Така задача виникає як модель потоку у тріщинуватому середовищі. Основним результатом є теорема існування та єдиності розв'язку у вагових просторах Соболева.
Mathematical Subject Classification 2020: 35B65, 35J25
Ключові слова:
апріорні оцінки, тріщина, вагові простори СоболеваПосилання
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