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Analytic Semigroups onH1(Ω) Generated by Degenerate Elliptic Operators

✍ Scribed by V. Barbu; A. Favini

Publisher
Springer
Year
2001
Tongue
English
Weight
143 KB
Volume
62
Category
Article
ISSN
0037-1912

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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],