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- W2801663550 abstract "We show local solvability in Besov spaces for a class of first order linear operators L defined on an open set of R n + 1 , n ∈ N , satisfying the condition ( P ) of Nirenberg–Treves and whose coefficients are Hölder continuous. Moreover, when n = 1 , we show local solvability for L in L ∞ ( R , B ∞ , ∞ s ( R ) ) , B ∞ , ∞ s ( R 2 ) and L q ( R , B p , q s ( R ) ) , 1 < p < ∞ , 1 ≤ q ≤ ∞ , s ∈ R . Recalling that C s = B ∞ , ∞ s , if s > 0 and not an integer (Hölder space), then we have local solvability for L in L ∞ ( R , C s ( R ) ) and C s ( R 2 ) ." @default.
- W2801663550 created "2018-05-17" @default.
- W2801663550 creator A5091657850 @default.
- W2801663550 date "2018-09-01" @default.
- W2801663550 modified "2023-10-14" @default.
- W2801663550 title "Local solvability for a class of linear operators in Besov and Hölder spaces" @default.
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- W2801663550 doi "https://doi.org/10.1016/j.jmaa.2018.04.077" @default.
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