SEONGHAK KIM
Wells Hall in Michigan State University
Education
Ph.D in Mathematics at Michigan State University, USA in 2015Advisor: Prof. Baisheng Yan
M.S. in Mathematics at Korea Advanced Institute of Science and Technology(KAIST), Korea in 2009
Advisor: Prof. U Jin Choi
B.S. in Mathematics at Sogang University, Korea in 2005
Research Interests
Partial Differential Equations, Calculus of VariationsHonors and Awards
Dissertation Completion Fellowship, MSU, Spring 2014Herbert T. Graham Scholarship, MSU, Summer 2012
Outstanding Teaching Assistant, KAIST, Fall 2007, Fall 2008
Brain Korea 21 Scholarship, KAIST, Spring 2005, Fall 2007 - Spring 2009
Academic Excellence Scholarship, Sogang University, Fall 2004
Publications and Preprints
"Radial weak solutions for the Perona-Malik equation as a differential inclusion"(with B. Yan), J. Differential Equations, 258 (6) (2015), 1889-1932, PDF file."Convex integration and infinitely many weak solutions to the Perona-Malik equation in all dimensions"(with B. Yan), SIAM J. Math. Anal., accepted, arXiv:1503.00772.
"On a gradient maximum principle for some quasilinear parabolic equations on convex domains", 2015, Submitted.
"On Lipschitz solutions to some forward-backward parabolic equations"(with B. Yan), 2015, Preprint.
Talks
Convex integration and infinitely many weak solutions to the Perona-Malik equation in all dimensions - AMS sectional meeting, MSU, March 2015On a gradient maximum principle for a class of nonlinear parabloc equations - PDE Seminar, MSU, February 2015
On infinitely many radially symmetric weak solutions for some forward-backward parabolic equations - PDE Seminar, MSU, October 2014
Construction of density classes related to the Perona-Malik equation - PDE Seminar, MSU, September 2014
Existence of partial differential inclusions by Baire's category method - PDE Seminar, MSU, April 2012
Teaching Activities
Instructor: College Algebra at MSU, Summer 2014Instructor: Elementary Mathematics for Teachers II at MSU, Summer 2013
Instructor: Calculus I at MSU, Fall 2012, Spring 2013, Fall 2013
Instructor: Survey of Calculus I at MSU, Fall 2010, Fall 2011, Spring 2012
Instructor: Calculus II at MSU, Summer 2010, Summer 2011, Fall 2014
Recitation TA: Calculus II at MSU, Spring 2010, Spring 2011, Spring 2015
Recitation TA: College Algebra at MSU, Fall 2009
Recitation TA: Calculus I at KAIST, Spring 2008
Recitation TA: Introduction to Linear Algebra at KAIST, Fall 2007, Spring 2009
Recitation TA: Calculus II at KAIST, Fall 2007
Additional Information
Auxiliary Policeman, Gyeongnam Provincial Police Agency, Republic of Korea in 2005-2007References
Casim Abbas, Michigan State UniversityBruce E Sagan (for teaching), Michigan State University
Baisheng Yan, Michigan State University
Zhengfang Zhou, Michigan State University