Comparison principles for parabolic differential–functional initial-value problems
✍ Scribed by Agnieszka Bartłomiejczyk; Henryk Leszczyński
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 300 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In this paper we give, for the first time, an abstract interpretation of such initial boundary value problems for parabolic equations that a part of boundary value conditions contains also a differentiation on the time t. Initial boundary value problems for parabolic equations are reduced to the Cau
where C r is the Banach space of continuous functions from [&r, 0] into R n , f and g are continuous functions from [0, T ]\_C r into R n , r is a fixed positive scalar, and [0, T ] is the interval of existence of a solution. To do this, we will use the same approach as in . In section 4, we will pr