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Analytic Semigroups onC[0,1] Generated by Some Classes of Second Order Differential Operators

✍ Scribed by Angelo Favini; Silivia Romanelli


Publisher
Springer
Year
1998
Tongue
English
Weight
184 KB
Volume
56
Category
Article
ISSN
0037-1912

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Degenerate Second Order Differential Ope
✍ Angelo Favini; GisΓ©le Ruiz Goldstein; Jerome A. Goldstein; Silvia Romanelli πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 272 KB πŸ‘ 1 views

We deal with the problem of analyticity for the semigroup generated by the second order differential operator Au := αu + βu (or by some restrictions of it) in the spaces L p (0, 1), with or without weight, and in W 1,p (0, 1), 1 < p < ∞. Here α and β are assumed real-valued and continuous in [0, 1],