Projects per year

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

- 3 Similar Profiles

Estimate
Mathematics

Riemannian Manifold
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Regularity
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Lipschitz Domains
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Compact Manifold
Mathematics

Metric
Mathematics

Tensor
Mathematics

Sobolev Spaces
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

Elliptic Problems

Evolution Equation

Partial differential equation

Singular Coefficients

## 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

student

US citizen

## 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

Operator

## 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: Research - peer-review › 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: Research - peer-review › 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: Research - peer-review › Article

Standing Wave

Nonlinear Schrödinger Equation

Vortex

High-dimensional

Nonlinear equations

## 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: Research - peer-review › Article

Nonlinear Klein-Gordon Equation

Traveling Wave Solutions

Schrödinger

Elliptic PDE

Nonlinear PDE

3
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: Research - peer-review › Article

Cauchy Integral

Toeplitz Operator

Projector

Hardy Space

Projection