On correctness of the Fourier problem for a non-stationary filtration system without conditions at the infinity (in Ukrainian) |
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| Author |
Lviv University, Department of Mechanics and Mathematics
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| Abstract |
The Fourier problem (a problem without initial conditions) for a
non-stationary
filtration system is investigated. The existence and uniqueness
conditions of a generalized
solution are obtained without assumptions of its behaviour
and the growth of initial data at infinity. Continuous
dependence of solutions on the right terms of the equations is established.
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| Keywords |
Fourier problem, non-stationary filtration system, generalized solution, existence, uniqueness, continuous dependence
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| DOI |
doi:10.30970/ms.6.1.85-98
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Reference |
1. Бокало Н.М. О задаче без начальных условий для некоторых классов нелинейных параболических уравнений // Тр. семинара им. И.Г. Петровского. М.: Изд-во Моск. ун-та, 1989. Вып.14. С.3–32.
2. Бокало Н.М. Об однозначной разрешимости задачи без начальных условий для полулинейных параболических уравнений в неограниченных областях без условий на бесконечности // Сиб. мат. ж. 1993. Т.34. №4. C.33–40. 3. Лионс Ж.-Л. Некоторые методы решения нелинейных краевых задач. – М.: Мир. 1972. Львівський ун-т, мех.-матем. ф-т |
| Pages |
85-98
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| Volume |
6
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| Issue |
1
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| Year |
1996
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |