arXiv:2003.11185 Abstract | arXiv Analytics

arXiv:2003.11185 [math.AP]Abstract References Reviews Resources

Green's function for nondivergence elliptic operators in two dimensions

Published 2020-03-25Version 1

We construct the Green function for second-order elliptic equations in non-divergence form when the mean oscillations of the coefficients satisfy the Dini condition and the domain has $C^{1,1}$ boundary. We show that the Green's function is BMO in the domain and establish logarithmic pointwise bounds. We also obtain pointwise bounds for first and second derivatives of the Green's function.

Categories: math.AP

Subjects: 35J08, 42B37

Keywords: greens function, nondivergence elliptic operators, dimensions, second-order elliptic equations, second derivatives

Related articles: Most relevant | Search more

arXiv:1307.1600 [math.AP] (Published 2013-07-05)

On the Strichartz estimates for the kinetic transport equation

Jonathan Bennett, Neal Bez, Susana Gutierrez, Sanghyuk Lee

arXiv:math/0701426 [math.AP] (Published 2007-01-15)

Inversion of spherical means and the wave equation in even dimensions

D. Finch, M. Haltmeier, Rakesh

arXiv:1107.0323 [math.AP] (Published 2011-07-01)

On the spectral properties of L_{+-} in three dimensions