We consider divergence form elliptic operators $ L={-}\mathrm {div} A (x)\nabla $, defined in
the half space $\mathbb {R}^{n+ 1} _+ $, $ n\geq 2$, where the coefficient matrix $ A (x) $ is …

We consider divergence form elliptic operators of the form L=− divA (x)∇, defined in Rn+
1={(x, t)∈ Rn× R}, n⩾ 2, where the L∞ coefficient matrix A is (n+ 1)×(n+ 1), uniformly elliptic …

Given any elliptic system with t-independent coefficients in the upper-half space, we obtain
representation and trace for the conormal gradient of solutions in the natural classes for the …

The present paper establishes a certain duality between the Dirichlet and Regularity
problems for elliptic operators with t t-independent complex bounded measurable …

Abstract Let (X, d, μ) be a metric measure space satisfying a doubling condition and the L 2-
Poincaré inequality. This paper is concerned with the boundary behavior of harmonic …

Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data
in Besov Spaces Page 1 MEMOIRS of the American Mathematical Society Volume 243 • …

We consider divergence form elliptic equations L u:=∇⋅(A∇ u)= 0 in the half space R+ n+
1:={(x, t)∈ R n×(0,∞)}, whose coefficient matrix A is complex elliptic, bounded and …

We unify and extend the semigroup and the PDE approaches to stochastic maximal
regularity of time-dependent semilinear parabolic problems with noise given by a cylindrical …

We prove that the double layer potential operator and the gradient of the single layer
potential operator are L_2 bounded for general second order divergence form systems. As …

We prove that the Lp′-solvability of the homogeneous Dirichlet problem for an elliptic
operator L=− div A∇ with real and merely bounded coefficients is equivalent to the Lp …