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- W1994597106 abstract "for all real £T^Q. I t is strongly elliptic there if there is a complex constant y such that ReYP(x, £ ) ^ 0 for £?^0. Let G be a bounded domain in e space and let ƒ and Uo be smooth complex functions defined in G. The Dirichlet problem (-4,/, Wo) is to find a complex function u such that Au=f in G and all derivatives of u — Uo of order 2 and to operators satisfying a root condition [5 ] if n = 2. Such operators will be called properly elliptic. For m = 2 all properly elliptic operators are strongly elliptic, but this is not the case for higher orders. For example, the operator corresponding to" @default.
- W1994597106 created "2016-06-24" @default.
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- W1994597106 date "1958-11-01" @default.
- W1994597106 modified "2023-10-14" @default.
- W1994597106 title "Solution of the Dirichlet problem for equations not necessarily strongly elliptic" @default.
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- W1994597106 doi "https://doi.org/10.1090/s0002-9904-1958-10239-6" @default.
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