Abstract
In this chapter we consider linear operators of the form
where the coefficient matrix A(x) = (aij (x)) is symmetric and uniformly elliptic, that is
, for all ξ∈ℝn and x∈Ω⊂ ℝn. We assume that the coefficients ai j are smooth functions, but the estimates we shall establish are independent of the regularity of the coefficients and depend only on the ellipticity constants λ, Λ and the dimension n.
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© 2001 Springer Science+Business Media New York
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Gutiérrez, C.E. (2001). Uniformly Elliptic Equations in Nondivergence Form. In: The Monge—Ampère Equation. Progress in Nonlinear Differential Equations and Their Applications, vol 44. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0195-3_2
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DOI: https://doi.org/10.1007/978-1-4612-0195-3_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6656-3
Online ISBN: 978-1-4612-0195-3
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