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- W2017019567 abstract "In the paper, the equation $$sumlimits_{k = 0}^l {sumlimits_{left| alpha right| = 2m} {a_{kalpha } D^alpha (u(q^{ - k} x)) = f(x)(x in mathbb{R}^n )} } $$ is considered in the scale of the weighted spaces H β (ℝ n ) (q > 1, a kα ∈ ℂ). We prove that if the expression $$sumlimits_{k = 0}^l {sumlimits_{left| alpha right| = 2m} {a_{kalpha } xi ^alpha z^k } } $$ does not vanish on the set {ξ ∈ ℝ n ∖ 0, |z| ≤ q β−s+n/2−2m}, then this equation has a unique solution u ∈ H +2 (ℝ n ) for every function f ∈ H (ℝ n ) provided that β, s ≠ ∈ ℝ, β − s ≠ n/2 + p, and β − s − 2m ≠ − n/2 − p (p = 0, 1, ...)." @default.
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- W2017019567 date "2007-06-01" @default.
- W2017019567 modified "2023-09-26" @default.
- W2017019567 title "Solvability of elliptic functional-differential equations with compressions of the arguments in weighted spaces" @default.
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- W2017019567 doi "https://doi.org/10.1007/s10958-007-0204-4" @default.
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