Projects per year

## Fingerprint Fingerprint is based on mining the text of the persons scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Lipschitz Domains
Mathematics

Riemannian Manifold
Mathematics

Regularity
Mathematics

Compact Manifold
Mathematics

Estimate
Mathematics

Laplace Operator
Mathematics

Tensor
Mathematics

Boundary Problem
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2002 2018

## Elliptic Boundary Problems and Evolution Equations in Partial Differential Equations

National Science Foundation (NSF)

6/1/15 → 5/31/18

Project: Research project

Boundary Problem

Singular Coefficients

Elliptic Problems

Elliptic PDE

Evolution Equation

## Evolution Equations and Elliptic Boundary Problems in PDE

National Science Foundation (NSF)

7/15/12 → 6/30/15

Project: Research project

Boundary Problem

Elliptic Problems

Evolution Equation

Rough

Nonlinear Dispersive Equations

## Partial Differential Equations and Harmonic Analysis

National Science Foundation (NSF)

6/15/08 → 5/31/12

Project: Research project

Harmonic Analysis

Partial differential equation

Boundary Problem

Rough

Elliptic Problems

## Graduate Assistance in Areas of National Need (GAANN)

US Department of Education (DOED)

8/15/07 → 8/14/11

Project: Research project

assistance

graduate

mathematics

US citizen

university teaching

## Partial Differential Equations and Harmonic Analysis

National Science Foundation (NSF)

6/1/05 → 5/31/08

Project: Research project

Harmonic Analysis

Partial differential equation

Spectral Theory

Rough

Gibbs Phenomenon

## Research Output 1971 2017

## Asymptotics for Some Non-classical Conormal Distributions Whose Symbols Contain Negative Powers of log|ξ|

Taylor, M. Mar 17 2017 (Accepted/In press) In : Journal of Fourier Analysis and Applications. p. 1-50 50 p.Research output: Contribution to journal › Article

Fourier transforms

Fourier coefficients

One Dimension

Higher Dimensions

Fourier transform

## Euler equation on a rotating surface

Taylor, M. May 15 2016 In : Journal of Functional Analysis. 270, 10, p. 3884-3945 62 p.Research output: Contribution to journal › Article

Euler Equations

Rotating

Coriolis Force

Surface of revolution

Band Structure

2
Citations

## Higher dimensional vortex standing waves for nonlinear Schrödinger equations

Marzuola, J. L. & Taylor, M. E. Mar 3 2016 In : Communications in Partial Differential Equations. 41, 3, p. 398-446 49 p.Research output: Contribution to journal › Article

Standing Wave

Nonlinear equations

Nonlinear Schrödinger Equation

Vortex

Vortex flow

## Traveling wave solutions to NLS and NLKG equations in non-euclidean settings

Taylor, M. 2016 In : Houston Journal of Mathematics. 42, 1, p. 143-165 23 p.Research output: Contribution to journal › Article

Nonlinear Klein-Gordon Equation

Traveling Wave Solutions

Schrödinger

Elliptic PDE

Nonlinear PDE

4
Citations

## Cauchy integrals, Calderón projectors, and Toeplitz operators on uniformly rectifiable domains

Mitrea, I., Mitrea, M. & Taylor, M. Jan 2 2015 In : Advances in Mathematics. 268, p. 666-757 92 p.Research output: Contribution to journal › Article

Cauchy Integral

Toeplitz Operator

Projector

Hardy Space

Projection