Faculty

Institution

Unit

Venue

Peter A. Perry

Distinguished Professor of Mathematics

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

Peter A. Perry is currently serving as a College Of Arts & Sciences Distinguished Professor of Mathematics at University of Kentucky.

Honors

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Experiences

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Education

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Peter A. Perry

University of Kentucky

Distinguished Professor of Mathematics

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applied mathematics mathematics spectral theory nonlinear analysis partial differential equations geometry and topology nonlinear science differential geometry mathematical physics geometric analysis boundary value problems physics nonlinear wave propagation applied physics numerical analysis differential equations number theory nonlinear phenomena geometric topology inverse scattering transforms global well-posedness global analysis riemannian manifold kleinian groups spectral analysis theoretical analysis knot theory wave scattering inverse scattering mathematical sciences numerical mathematics mathematical optimization nonlinear dynamics analytic number theory nonlinear equations nonlinear hyperbolic problem potential theory soliton resolution laplace operator hyperbolic manifolds spectral geometry davey-stewartson ii equation function spaces combinatorial optimization combinatorial theory numerical simulations hyperbolic equations lie theory riemannian geometry conformal field theory numerical method for partial differential equation theoretical mathematics manifold modeling combinatorial problems source apportionment global existence isospectral manifolds novikov-veselov equation selberg zeta function non-maximal rank pattern-avoiding permutations schrodinger operators miura potentials general systems theoretical physics finite fields geometrical accuracy linear operators lower bounds metric graph theory comparative analysis hyperbolic conservation laws dynamical analysis spectroscopic property applied algebra modern algebra

Notable Scholarly Works

Notable Federal Grants

Collaborators

Global Existence for the Derivative Nonlinear SchröDinger Equation With Arbitrary Spectral Singularities. Analysis & PDE (2020)

Robert JenkinsJiaqi LiuPeter PerryCatherine Sulem

theoretical analysisgeometric analysisarbitrary spectral singularitiespartial differential equationsglobal analysisphysicsboundary value problemsglobal existencespectral theorynonlinear analysis

Inverse Scattering and Global Well-Posedness in One and Two Space Dimensions. Fields Institute communications (2019)

Peter A. Perry

global well-posednessspace dimensionsapplied physicsinverse scatteringinverse problems

Nachman’s Reconstruction Method for the CalderóN Problem With Discontinuous Conductivities. Inverse Problems (2019)

George LytlePeter PerrySamuli Siltanen

discontinuous conductivitiesreconstruction methodelectrical engineeringinverse problemscalderon problem

The Derivative Nonlinear SchröDinger Equation: Global Well-Posedness and Soliton Resolution. Quarterly of Applied Mathematics (2019)

Robert JenkinsJiaqi LiuPeter PerryCatherine Sulem

ordinary differential equationsdifferential equationsspectral theorynonlinear hyperbolic problemtopological solitonsoliton resolutionoptical solitonssystems biologynonlinear dynamicsnonlinear resonancenonlinear phenomenanonlinear wave propagationglobal well-posednessnonlinear sciencenonlinear analysisnonlinear systemsapplied mathematicspartial differential equationsdynamical systemsmathematics

Global Solutions for the Zero-Energy Novikov–Veselov Equation by Inverse Scattering. Nonlinearity (2018)

Michael MusicPeter Perry

mathematical physicsapplied mathematicsglobal solutionszero-energy novikov-veselov equationnonlinear scienceinverse scatteringnonlinear equationsinverse problemsnonlinear analysis

Global Well-Posedness for the Derivative Non-Linear SchröDinger Equation. Communications in Partial Differential Equations (2018)

Robert JenkinsJiaqi LiuPeter A. PerryCatherine Sulem

numerical simulationsnonlinear wave propagationapplied mathematicsboundary value problemsglobal well-posednesspartial differential equationsstochastic partial differential equationsglobal analysisdynamical systemsnonlinear dynamicsnonlinear sciencenumerical method for partial differential equationdifferential equationsnonlinear phenomenawave nonlinearitysource apportionment

Soliton Resolution for the Derivative Nonlinear SchröDinger Equation. Communications in Mathematical Physics (2018)

Robert JenkinsJiaqi LiuPeter PerryCatherine Sulem

mathematical physicsnonlinear wave propagationapplied mathematicssoliton resolutionordinary differential equationsnonlinear phenomena

Soliton Solutions and Their (in)Stability for the Focusing Davey–Stewartson II Equation. Nonlinearity (2018)

Russell M BrownPeter A Perry

nonlinear systemsnonlinear wave propagationapplied mathematicsdavey-stewartson ii equationstabilitynonlinear sciencenonlinear equationsnonlinear processsoliton solutionsnonlinear phenomenanonlinear analysis

Global Well-Posedness and Soliton Resolution for the Derivative Nonlinear SchröDinger Equation. arXiv (Cornell University) (2017)

Robert JenkinsJiaqi LiuPeter PerryCatherine Sulem

nonlinear wave propagationapplied mathematicsglobal well-posednesssoliton resolutionpartial differential equationsnonlinear hyperbolic problemdynamical systemsnonlinear dynamicsnonlinear sciencephysicsordinary differential equationsdifferential equationsnonlinear analysisnonlinear phenomenaspectral theoryquantum mechanics

Inverse Scattering in 60 Minutes. Journées Équations aux dérivées partielles (2017)

Peter Perry

wave scatteringpartial differential equationsinverse scattering transformsapplied physicsboundary value problemsinverse problems

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Peter A. Perry

Distinguished Professor of Mathematics

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

Peter A. Perry is currently serving as a College Of Arts & Sciences Distinguished Professor of Mathematics at University of Kentucky.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Peter A. Perry

University of Kentucky

Distinguished Professor of Mathematics

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Global Existence for the Derivative Nonlinear SchröDinger Equation With Arbitrary Spectral Singularities. Analysis & PDE (2020)

Robert JenkinsJiaqi LiuPeter PerryCatherine Sulem

theoretical analysisgeometric analysisarbitrary spectral singularitiespartial differential equationsglobal analysisphysicsboundary value problemsglobal existencespectral theorynonlinear analysis

Inverse Scattering and Global Well-Posedness in One and Two Space Dimensions. Fields Institute communications (2019)

Peter A. Perry

global well-posednessspace dimensionsapplied physicsinverse scatteringinverse problems

Nachman’s Reconstruction Method for the CalderóN Problem With Discontinuous Conductivities. Inverse Problems (2019)

George LytlePeter PerrySamuli Siltanen

discontinuous conductivitiesreconstruction methodelectrical engineeringinverse problemscalderon problem

The Derivative Nonlinear SchröDinger Equation: Global Well-Posedness and Soliton Resolution. Quarterly of Applied Mathematics (2019)

Robert JenkinsJiaqi LiuPeter PerryCatherine Sulem

Global Solutions for the Zero-Energy Novikov–Veselov Equation by Inverse Scattering. Nonlinearity (2018)

Michael MusicPeter Perry

mathematical physicsapplied mathematicsglobal solutionszero-energy novikov-veselov equationnonlinear scienceinverse scatteringnonlinear equationsinverse problemsnonlinear analysis

Global Well-Posedness for the Derivative Non-Linear SchröDinger Equation. Communications in Partial Differential Equations (2018)

Robert JenkinsJiaqi LiuPeter A. PerryCatherine Sulem

Soliton Resolution for the Derivative Nonlinear SchröDinger Equation. Communications in Mathematical Physics (2018)

Robert JenkinsJiaqi LiuPeter PerryCatherine Sulem

mathematical physicsnonlinear wave propagationapplied mathematicssoliton resolutionordinary differential equationsnonlinear phenomena

Soliton Solutions and Their (in)Stability for the Focusing Davey–Stewartson II Equation. Nonlinearity (2018)

Russell M BrownPeter A Perry

Global Well-Posedness and Soliton Resolution for the Derivative Nonlinear SchröDinger Equation. arXiv (Cornell University) (2017)

Robert JenkinsJiaqi LiuPeter PerryCatherine Sulem

Inverse Scattering in 60 Minutes. Journées Équations aux dérivées partielles (2017)

Peter Perry

wave scatteringpartial differential equationsinverse scattering transformsapplied physicsboundary value problemsinverse problems

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Similar Faculty Members

Paul Sacks

Institution

Iowa State University

inverse problems

pde-constrained optimization

Peter D. Hislop

Institution

University of Kentucky

complex analysis

random schrodinger operators

Eduardo Teixeira

Institution

University of Central Florida

regularity theory

partial differential equation

Dmitry Khavinson

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applied mathematical modelling

real analysis

Lihe Wang

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University of Iowa

applied mathematical modelling

physical modeling

Nikolaos Tzirakis

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University of Illinois Urbana-Champaign

applied mathematics

nonlinear hyperbolic problem

Zhongwei Shen

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applied mathematics

mathematics

M. Burak Erdoğan

Institution

University of Illinois Urbana-Champaign

dispersive pde

nonlinear analysis

Hector O. Fattorini

Institution

University of California, Los Angeles

control optimization

functional analysis

Brett Wick

Institution

Washington University in St. Louis

function space

spectral theory