3 papers
math.AP2019
Extrapolation of the Dirichlet problem for elliptic equations with complex coefficients
Martin Dindoš, Jill Pipher
In this paper, we prove an extrapolation result for complex coefficient divergence form operators that satisfy a strong ellipticity condition known as -{\it ellipticity}. Specif…
math.AP2018
Perturbation theory for solutions to second order elliptic operators with complex coefficients and the Dirichlet problem
Martin Dindoš, Jill Pipher
We establish a Dahlberg-type perturbation theorem for second order divergence form elliptic operators with complex coefficients. In our previous paper, we showed the following resu…
math.AP2017
Parabolic Regularity and Dirichlet boundary value problems
Martin Dindoš, Luke Dyer
We study the relationship between the Regularity and Dirichlet boundary value problems for parabolic equations of the form in Lip time-va…