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• W328153909 abstract "A method of constructing pseudo-differential operator type left or right inverses for certain singular elliptic differential operators over ℝn is discussed. The “global parametrices” obtained may have a C∞(ℝ2n)-symbol, or the symbol may only be Ck, with finite k, at certain points, and the growth conditions for the symbols are rather odd. In some cases one obtains continuous operators between certain Sobolev spaces, although the symbol does not satisfy the corresponding Calderon-Vaillancourt type estimates. Typically this works for the Helmholtz operator Δ+k2, and for the Laplace operator Δ, and there matches with well known estimates of S. Agmon and of Nirenberg-Walker-Cantor-McOwen, respectively." @default.
• W328153909 created "2016-06-24" @default.
• W328153909 creator A5086350224 @default.
• W328153909 date "1982-01-01" @default.
• W328153909 modified "2023-09-27" @default.
• W328153909 title "Global Parametrices for Certain Singular Elliptic Operators" @default.
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• W328153909 doi "https://doi.org/10.1007/978-3-0348-5183-1_11" @default.
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