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- W2159366522 abstract "Abstract : The Cauchy problem for various types of secondary order nonlinear elliptic equations is considered. A substitution v=epsilon u in the equation leads to a perturbed equation whose solution is compared to an appropriate solution of an unperturbed second order linear elliptic equation obtained by formally setting epsilon=O. In each case a logarithmic convexity argument is used to show that appropriately constrained solutions of the original equation (assumed to exist) are shown to differ from a solution of the associated linear equation in the manner depending continuously on the parameter epsilon." @default.
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- W2159366522 date "1991-01-01" @default.
- W2159366522 modified "2023-10-14" @default.
- W2159366522 title "Continuous dependence on modeling in the Cauchy problem for nonlinear elliptic equations" @default.
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- W2159366522 doi "https://doi.org/10.57262/die/1371154290" @default.
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