University of Missouri

output

19922026

most citedThe Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package

7.7k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2015 · math.APShow all

8 papers · 2 filters

math.AP2015★ 2 cited

Pressure transfer functions for interfacial fluid problems

Robin Ming Chen, Vera Mikyoung Hur, Samuel Walsh

We make a consistent derivation, from the governing equations, of the pressure transfer function in the small-amplitude Stokes wave regime and the hydrostatic approximation in the…

math.AP2015★ 22 cited

Pointwise estimates of solutions to semilinear elliptic equations and inequalities

Alexander Grigor'yan, Igor Verbitsky

We obtain sharp pointwise estimates for positive solutions to the equation $- Lu + V u^{q} = f$ , where $L$ is an elliptic operator in divergence form, $q \in R ∖ {0}$ , $f\g…

math.AP2015★ 3 cited

Multilinear Multiplier Theorems and Applications

Loukas Grafakos, Danqing He, Hanh Van Nguyen +1

We obtain new multilinear multiplier theorems for symbols of restricted smoothness which lie locally in certain Sobolev spaces. We provide applications concerning the boundedness o…

math.AP2015★ 10 cited

Positive solutions to Schrödinger's equation and the exponential integrability of the balayage

Michael Frazier, Igor Verbitsky

Let $Ω \subset R^{n}$ , for $n \geq 2$ , be a bounded $C^{2}$ domain. Let $q \in L_{l oc}^{1} (Ω)$ with $q \geq 0$ . We give necessary conditions and matching sufficient conditions,…

math.AP2015★ 12 cited

Decoupling of Deficiency Indices and Applications to Schrödinger-Type Operators with Possibly Strongly Singular Potentials

Fritz Gesztesy, Marius Mitrea, Irina Nenciu +1

We investigate closed, symmetric $L^{2} (R^{n})$ -realizations $H$ of Schrödinger-type operators $(- Δ + V) ↾_{C_{0}^{\infty} (R^{n} ∖ Σ)}$ whose potentia…

math.AP2015

The Callias Index Formula Revisited

Fritz Gesztesy, Marcus Waurick

We revisit the Callias index formula for Dirac-type operators $L$ in odd space dimension $n$ , and prove that \begin{align} \text{ind} \, (L) =\bigg(\frac{i}{8π}\bigg)^{\frac{n-1}{2…

math.AP2015★ 17 cited

On the wind generation of water waves

Oliver Buhler, Jalal Shatah, Samuel Walsh +1

In this work, we consider the mathematical theory of wind generated water waves. This entails determining the stability properties of the family of laminar flow solutions to the tw…

math.AP2015★ 3 cited

Multilinear Fourier Multipliers with Minimal Sobolev Regularity, II

Loukas Grafakos, Akihiko Miyachi, Hanh Van Nguyen +1

We provide characterizations for boundedness of multilinear Fourier operators on Hardy-Lebesgue spaces with symbols locally in Sobolev spaces. Let $H^{q} (R^{n})$ denote the Har…