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Paper detail

On nonequivalence of regular boundary points for second-order elliptic operators

In this paper we present examples of nondivergence form second order elliptic operators with continuous coefficients such that $L$ has an irregular boundary point that is regular for the Laplacian. Also for any eigenvalue spread <1 of the matrix of the coefficients we provide an example of operator with discontinuous coefficients that has regular boundary points nonequivalent to Laplacian&#39;s (we give examples for each direction of nonequivalence). All examples are constructed for each dimension starting with 3.

preprint2016arXivOpen access
N. V. KrylovTimur Yastrzhembskiy
math.AP
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N. V. KrylovTimur Yastrzhembskiy

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