• Proceedings of the Korean Nuclear Society Conference
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• 2004.10a
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• pp.373-374
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• 2004

• Communications of the Korean Mathematical Society
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• v.30 no.3
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• pp.201-208
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• 2015

This paper reviews recent mathematical progresses made on the study of the initial-value problem for nonlinear Dirac equations in one space dimension. We also prove the global existence of solutions to some nonlinear Dirac equations and propose a model problem (3.6).

• Journal of the Korean Mathematical Society
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• v.54 no.4
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• pp.1081-1097
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• 2017

In this paper, we consider coupled wave equation of Kirchhoff type in a noncylindrical domain. This work is devoted to prove the existence and uniqueness of global solutions and decay for the energy of solutions.

• Proceedings of the Korean Institute of Communication Sciences Conference
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• 1987.04a
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• pp.49-51
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• 1987

In this paper we propose a segmentiation algorithm to get binary images by using edge positional information We use the global and local properties of an image in this algorithm. Computer simulation shows that its segmentation results are better than thyose of conventional algorthm using only global characteristics.

• Proceedings of the Korean Vacuum Society Conference
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• 2009.08a
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• pp.224-224
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• 2009

• Journal of the Korean Mathematical Society
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• v.53 no.3
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• pp.533-547
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• 2016

We prove an Omori-Yau maximum principle on Alexandrov spaces which do not have Perelman singular points and satisfy the infinitesimal Bishop-Gromov condition.

• Journal of the Korean Mathematical Society
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• v.53 no.4
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• pp.769-780
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• 2016

In this paper, we first prove some Liouville type theorems for elliptic inequalities on weighted manifolds which support a weighted Sobolev-type inequality. Secondly, applying the Liouville type theorems to self-shrinkers, we obtain some global rigidity theorems.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 1998.10a
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• pp.87-87
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• 1998

• Communications of the Korean Mathematical Society
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• v.10 no.1
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• pp.215-233
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• 1995

• Journal of the Korean Mathematical Society
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• v.34 no.2
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• pp.395-405
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• 1997

A globality of the Hopf bifurcation in a free boundary problem for a parabolic partial differential equation is investigated in this paper. We shall examine the global behavior of the Hopf critical eigenvalues and and apply the center-index theory to show the globality.