A. Morris

activity

20072022

most citedVertex corrections in localized and extended systems

59 citations · 158 across the 11 of their papers we have counts for

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8 papers · 1 filter

math.AP2022

Quadratic estimates for degenerate elliptic systems on manifolds with lower Ricci curvature bounds and boundary value problems

Pascal Auscher, Andrew J. Morris, Andreas Rosén

Weighted quadratic estimates are proved for certain bisectorial firstorder differential operators with bounded measurable coefficients which are (not necessarily pointwise) accreti…

math.AP2020★ 3 cited

Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data

Andrew J. Morris, Andrew J. Turner

We develop a holomorphic functional calculus for first-order operators $D B$ to solve boundary value problems for Schrödinger equations $- div A \nabla u + aV u = 0$ in t…

math.AP2017★ 14 cited

Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations

Steve Hofmann, Phi Le, Andrew J. Morris

We prove that the Dirichlet problem for degenerate elliptic equations $div (A \nabla u) = 0$ in the upper half-space $(x, t) \in R_{+}^{n + 1}$ is solvable when $n \geq 2$ …

math.AP2014★ 1 cited

Square Function Estimates in Spaces of Homogeneous Type and on Uniformly Rectifiable Euclidean Sets

Steve Hofmann, Dorina Mitrea, Marius Mitrea +1

We announce a local $T (b)$ theorem, an inductive scheme, and $L^{p}$ extrapolation results for $L^{2}$ square function estimates related to the analysis of integral operators that act…

math.AP2013★ 43 cited

The method of layer potentials in $L^{p}$ and endpoint spaces for elliptic operators with $L^{\infty}$ coefficients

Steve Hofmann, Marius Mitrea, Andrew J. Morris

We consider layer potentials associated to elliptic operators $Lu = - div (A \nabla u)$ acting in the upper half-space $R_{+}^{n + 1}$ for $n \geq 2$ , or more generally, in a…

math.AP2013★ 9 cited

$L^{p}$ -Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets