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On Characterization of a Quasi-elliptic System of Minimal Differential Operators Via Estimates in the Scale of Anisotropic Sobolev Spaces

Year: 2025
Type: article
Abstract: We obtain a necessary condition for an 𝑙-quasi-ellipticity of a system {𝑃𝑗(𝑥,𝐷)}𝑁1 of minimal differential operators with constant 𝑙-quasi-homogeneous principal parts {𝑃𝑙𝑗 (𝐷)}𝑁1 via a priori estimates of weak coercivity type in the scale of anisotropic Sobolev spaces 𝑊𝑙 𝑝,0(Ω), 𝑝 ∈ [1,∞].
Language: English
Open Access status: green
OpenAlex ID: W7083688073
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