Maximal and minimal solutions of second order elliptic and parabolic equations in non-divergence form with measurable coefficients

Cerutti, M. Cristina; Piro Grimaldi, Anna

doi:10.1090/proc/13577

Maximal and minimal solutions of second order elliptic and parabolic equations in non-divergence form with measurable coefficients
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by M. Cristina Cerutti and Anna Piro Grimaldi PDF

Proc. Amer. Math. Soc. 145 (2017), 4773-4782 Request permission

Abstract:

In this paper we will prove that the supremum and infimum of good solutions of the Dirichlet problem for elliptic and parabolic equations in non-divergence form with measurable coefficients, are good solutions to the same problem.

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