http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
DOUBLY NONLINEAR PARABOLIC EQUATIONS INVOLVING p-LAPLACIAN OPERATORS VIA TIME-DISCRETIZATION METHOD
신기연,Sujin Kang 대한수학회 2012 대한수학회보 Vol.49 No.6
In this paper, we consider a doubly nonlinear parabolic partial differential equation $\frac{{\partial}{\beta}(u)}{{\partial}t}-{\Delta}_pu+f(x,t,u)=0$ in ${\Omega}{\times}[0,T]$, with Dirichlet boundary condition and initial data given. We prove the existence of a discrete approximate solution by means of the Rothe discretization in time method under some conditions on β, $f$ and $p$.
Hyperbolic Equations Related to P-Laplacian Operators via Time Discretization Methods
신기연,강수진 영남수학회 2014 East Asian mathematical journal Vol.30 No.5
In this paper we consider hyperbolic equations related to the p-Laplacian with a nonsmooth kernel. By exploiting a suitable implicit time-discretization technique we obtain the existence of global strong so- lution.
DOUBLY NONLINEAR VOLTERRA EQUATIONS INVOLVING THE LERAY-LIONS OPERATORS
신기연,강수진 영남수학회 2013 East Asian mathematical journal Vol.29 No.1
In this paper we consider a doubly nonlinear Volterra equa-tion related to the Leray-Lions with a nonsmooth kernel. By exploiting a suitable implicit time-discretization technique we obtain the existence of global strong solution.
General Decay of Solutions for Viscoelastic Equation with Nonlinear Source Terms
신기연,강수진 영남수학회 2018 East Asian mathematical journal Vol.34 No.5
A viscoelastic wave equation in canonical form weakly non- linear time dependent dissipation and source terms is investigated in this paper. And we establish a general decay result which is not necessarily of exponential or polynomial type.
DOUBLY NONLINEAR PARABOLIC EQUATIONS RELATED TO THE LERAY-LIONS OPERATORS: TIME-DISCRETIZATION
신기연,강수진 영남수학회 2010 East Asian mathematical journal Vol.26 No.3
In this paper, we consider a doubly nonlinear parabolic equation related to the Leray-Lions operator with Dirichlet boundary condition and initial data given. By exploiting a suitable implicit time-discretization technique, we obtain the existence of global strong solution.
GENERAL DECAY OF SOLUTIONS OF NONLINEAR VISCOELASTIC WAVE EQUATION
신기연,강수진 영남수학회 2016 East Asian mathematical journal Vol.32 No.5
In a bounded domain, we consider utt-△u+∫t0g(t-τ)△udτ+ut=|u|pu, where p >0 and g is a nonnegative and decaying function. We establisha general decay result which is not necessarily of exponential or polynomial type.
Nonlinear Functional Evolution Equations in Lp spaces
Shin, Ki-Yeon 부산대학교 1992 자연과학논문집 Vol.53 No.-
Discrete Scheme(DS) 극한해의 개념과 비선형 연산자 이론에 의하여 비선형 함수 발전 방정식의 해의 존재성을 알아보고 초기 함수에 관한 조건을 완하시키는 방법을 연구한다. 또한 보다 일반화되는 적분해를 완하된 초기 함수의 조건하에서 존재함을 보인다.
이시은,신기연 영남수학회 2020 East Asian mathematical journal Vol.36 No.3
Nonalcoholic fatty liver is a type of fatty liver in which fat accumulates in the liver without alcohol. In the accumulation, Nrf1 and miR-378 genes play very important role, so called negative feedback loop, in which the two genes suppress the other’s production. In other words, Nrf1 activates fatty acid oxidation which promotes fat consumption in the liver, while miR-378 deactivates fatty acid oxidation. Thus, both genes regulate nonalcoholic fatty liver. In this paper, the negative feedback loop of Nrf1 and miR-378 are ex- pressed by a system of ordinary differential equations. And, bifurcation simulation shows the change in the amount of each gene with significant parameter range changes. Bifurcation simulation has also used to deter- mine the thresholds for transit between disease and steady state.