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Uniqueness and continuous dependence for water waves

✍ Scribed by A. E. Green; P. M. Naghdi


Book ID
112491954
Publisher
Springer Vienna
Year
1975
Tongue
English
Weight
140 KB
Volume
23
Category
Article
ISSN
0001-5970

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Existence, uniqueness and continuous dep
✍ A.G. Rutkas; L.A. Vlasenko πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 191 KB

Theorems of existence, uniqueness and continuous dependence for the nonlinear functional di erential equation d=dt(Au(t)) + Bu(t) = f(t; ut) in a Banach space are proved. The unbounded operator A is, generally, degenerate. Abstract results are applied to nonlinear partial functional di erential equa