Young-Ran Lee (̿)

Research Assistant Professor                             

(a member of PDE LAB since 2007-09-01)

Department of Mathematical Sciences, KAIST
Guseong-dong 373-1, Yuseong-gu
Daejeon, 305-701, South Korea

KAIST а
373-1
(濵е E2-1, 2207ȣ)

email: youngranlee@kaist.ac.kr
Phone  82-42-869-2749,  Fax 82-42-869-5710

 

Education

Period

Degree

Department

Institute

1999.06~2004.08

Ph.D.

Mathematics

University of Alabama at Birmingham

1998.03~1999.06

Master

Mathematics

University of Alabama at Birmingham

1993.03~1998.02

Master

Mathematics Education

Seoul National University

1989.03~1993.02

Bachelor

Mathematics Education

Seoul National University

 

Academic Positions

Period

Title

Institute

2007.09~

Research assistant professor

Korea Advanced Institute of Science and Technology

2004.08~2007.08

Research assistant professor

University of Illinois at Urbana-Champaign

 

Visiting Positions

Period

Institute

2007.01~2007.02

University of Birmingham, United Kingdom

2008.01~2008.02

University of Alabama at Birmingham and University of Illinois at Urbana-Champaign, USA

 

Research Interests

Partial Differential Equations, Mathematical Physics, Spectral Theory

 

Thesis

Լ ׷ ١, , б, б, 1998 2 26,  (: ).

Spectral properties of polyharmonic operators with limit-periodic potential in dimension two", Dissertation of Ph.D. University of Alabama at Birmingham, Department of Mathematics, August 14, 2004, (Advisor: Yulia Karpeshina).

 

Publications and Preprints

On a Polyharmonic Operator with limit-periodic potential in dimension two" (with Yulia Karpeshina), Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 113-120.

Generalized 3G theorem and application to relativistic stable process on non-smooth open sets" (with Panki Kim), Journal of functional analysis, 246(1) (2007), 113-134.

Spectral properties of polyharmonic operators with limit-periodic potential in dimension two" (with Yulia Karpeshina), Journal d'Analyse Mathematique, 102 (2007), 225-310.

Exponential decay Of eigenfunctions and generalized eigenfunctions of a non self-adjoint matrix Schrödinger operator related to NLS" (with Dirk Hundertmark), Bulletin of London Mathematical Society 39(5) (2007), 709-720.

On Schrödinger Operator with Limit-Periodic Potential in Dimension Two (with Yulia Karpeshina), to appear in OTAMP proceedings: "Operator Theory and Applications", Birkhauser.

Decay estimates and smoothness for solutions of the dispersion managed non-linear Schrödinger equation" (with Dirk Hundertmark), submitted on December 22, 2007 and accepted on April 8, 2008 by Communications in Mathematical Physics, preprint.

Absolutely continuous spectrum of polyharmonic operators with a limit-periodic potential" (with Yulia Karpeshina), submitted on November 28, 2007, revised on May 22, 2008 and accepted on May 28, 2008 by Communications in PDE, preprint.

Structure of fundamental solutions of a conservation law without convexity (with Yong-Jung Kim), submitted on March 15, 2008, preprint.

Super-exponential decay of diffraction managed solitons (with Dirk Hundertmark), submitted on April 24, 2008, preprint.

Spectral properties of a limit-periodic Schrödinger operator in dimension two (with Yulia Karpeshina), in preparation.

On the existence of dispersion managed solitons" (with Dirk Hundertmark), in preparation.

 

Teaching Experiences

ߵ б ӿ հ, 1993

߶б б, 1993~1996

University of Alabama at Birmingham, MAPLE Lab TA, 1998~1999

University of Alabama at Birmingham, Lab Recitation TA, 1999~2000

University of Alabama at Birmingham, CAPA (Computer-Assisted Personalized Approach) TA, 2000

University of Alabama at Birmingham, Instructor, Intermediate Algebra, Elementary Algebra, Precalculus, 2001~2004

University of Illinois at Urbana-Champaign, Instructor, Introduction to ODE, ODE II, PDE, 2004~2006