For divergence-form elliptic equations, the paper proves regularity estimates with constants exponential in a coefficient norm times domain radius, shows these exponents are optimal by explicit examples, and extends Landis-type spherical decay estimates to general operators.
Le Balc’h, Exponential bounds for gradient of solutio ns to linear elliptic and parabolic equations, J
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Elliptic regularity estimates with optimized constants and applications
For divergence-form elliptic equations, the paper proves regularity estimates with constants exponential in a coefficient norm times domain radius, shows these exponents are optimal by explicit examples, and extends Landis-type spherical decay estimates to general operators.