[Untitled]
In: Positivity, Jg. 1 (1997), S. 45-54
Online
unknown
Zugriff:
Let A be a set, and let E be the Banach space of bounded functions ξ : A → R, equipped with its natural order. With a rectangle R = (a,b) × (0,T] let F(x,t,ξ) : R × E → E be a bounded, continuous function satisfying a local Holder condition and being quasimonotone increasing with respect to ξ. Then there exists a solution u: [a,b] × [0,T] → E of the problem ut(x,t) − uxx(x,t) = F(x,t,u(x,t)) ((x,t) ∈ R), u(x,t) = 0 ((x,t) ∈ R ∖ R).
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[Untitled]
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Autor/in / Beteiligte Person: | Simon, Alice ; Volkmann, Peter ; Grenon, Nathalie ; Moutoussamy, Isabelle |
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Zeitschrift: | Positivity, Jg. 1 (1997), S. 45-54 |
Veröffentlichung: | Springer Science and Business Media LLC, 1997 |
Medientyp: | unknown |
ISSN: | 1385-1292 (print) |
DOI: | 10.1023/a:1009722417595 |
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