The Dirichlet problem for elliptic operators having a BMO anti-symmetric part
The present paper establishes the first result on the absolute continuity of elliptic measure
with respect to the Lebesgue measure for a divergence form elliptic operator with non …
with respect to the Lebesgue measure for a divergence form elliptic operator with non …
The weighted Kato square root problem of elliptic operators having a BMO anti-symmetric part
W Ma, S Yang - Acta Mathematica Scientia, 2024 - Springer
Let n≥ 2 and let L be a second-order elliptic operator of divergence form with coefficients
consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ n. In this …
consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ n. In this …
On the Kato problem for elliptic operators in non-divergence form
L Escauriaza, P Hidalgo-Palencia… - Vietnam Journal of …, 2024 - Springer
We consider the Kato square root problem for non-divergence second order elliptic
operators L=-∑ i, j= 1 na ij D i D j, and, especially, the normalized adjoints of such operators …
operators L=-∑ i, j= 1 na ij D i D j, and, especially, the normalized adjoints of such operators …
[PDF][PDF] The improved Caccioppoli inequality associated to parabolic systems with a skew-symmetric real BMO matrix
G Zhang - arXiv preprint arXiv:2403.01741, 2024 - arxiv.org
arXiv:2403.01741v1 [math.AP] 4 Mar 2024 Page 1 arXiv:2403.01741v1 [math.AP] 4 Mar 2024
The improved Caccioppoli inequality associated to parabolic systems with a skew-symmetric …
The improved Caccioppoli inequality associated to parabolic systems with a skew-symmetric …
On a mixed type Carleson condition on the nontangential derivative of A for an elliptic operator
M Ulmer - arXiv preprint arXiv:2311.00614, 2023 - arxiv.org
We study an elliptic operator $ L:=\mathrm {div}(A\nabla\cdot) $ on the upper half space. We
know that if the matrix $ A $ is independent in t-direction, which is the direction …
know that if the matrix $ A $ is independent in t-direction, which is the direction …