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A PRIORI L2 ERROR ANALYSIS FOR AN EXPANDED MIXED FINITE ELEMENT METHOD FOR QUASILINEAR PSEUDO-PARABOLIC EQUATIONS

  • Ohm, Mi Ray;Lee, Hyun Young;Shin, Jun Yong
    • Journal of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.67-86
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    • 2014
  • Based on an expanded mixed finite element method, we consider the semidiscrete approximations of the solution u of the quasilinear pseudo-parabolic equation defined on ${\Omega}{\subset}R^d$, $1{\leq}d{\leq}3$. We construct the semidiscrete approximations of ${\nabla}u$ and $a(u){\nabla}u+b(u){\nabla}u_t$ as well as u and prove the existence of the semidiscrete approximations. And also we prove the optimal convergence of ${\nabla}u$ and $a(u){\nabla}u+b(u){\nabla}u_t$ as well as u in $L^2$ normed space.

A study on u-City services promotion by mobile services (모바일 서비스에 의한 u-City 서비스 활성화에 관한 연구)

  • Lim, Kyu-Kwan;Kim, Jong-Keun;Lim, Young-Hwan
    • Journal of Digital Contents Society
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    • v.11 no.1
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    • pp.57-64
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    • 2010
  • The paper reviews the relationship between mobile services and u-City services in order to promote u-City service. In the u-Cities, a variety of services are provided based on u-IT technology, which brings the benefits of efficient city management and offers convenience to the city residents. However, most of the available services are designed for the areas of city operation or administrative management, which hinders the growth and propagation of the services. Hence, the paper suggests a concept of mobile life service that is a service that can be ubiquitously accessible by city residents in everyday life. Accordingly, the paper examines and analyzes the usefulness of such services and the intention to use them by conducting a survey among the residents of the metropolitan area. The paper verifies that the mobile life service will contribute to promoting the use of u-City services.

A Study on the generation method of essential u-City service of each stage on a specified city. (특정도시의 단계별 필수기반 u-City 서비스 도출 방안에 관한 연구)

  • Park, Soon-Hyung
    • 한국IT서비스학회:학술대회논문집
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    • 2009.05a
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    • pp.87-90
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    • 2009
  • A u-city is a vision of a city with computers and sensors built in to its infrastructure, and data sharing among the various information systems. A u-City provides several u-City services to the u-City clients. The u-City services for local governments contain two types of functions: common function and specified function. It is needed a study on generation of specified service models of local governments. The proposed service model divides functions of the city into two service areas: common support service and specified support service. And we suggest the way to generate the u-services of each local government in this paper.

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MULTIPLE SOLUTIONS OF A PERTURBED YAMABE-TYPE EQUATION ON GRAPH

  • Liu, Yang
    • Journal of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.911-926
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    • 2022
  • Let u be a function on a locally finite graph G = (V, E) and Ω be a bounded subset of V. Let 𝜀 > 0, p > 2 and 0 ≤ λ < λ1(Ω) be constants, where λ1(Ω) is the first eigenvalue of the discrete Laplacian, and h : V → ℝ be a function satisfying h ≥ 0 and $h{\not\equiv}0$. We consider a perturbed Yamabe equation, say $$\{\begin{array}{lll}-{\Delta}u-{\lambda}u={\mid}u{\mid}^{p-2}u+{\varepsilon}h,&&\text{ in }{\Omega},\\u=0,&&\text{ on }{\partial}{\Omega},\end{array}$$ where Ω and ∂Ω denote the interior and the boundary of Ω, respectively. Using variational methods, we prove that there exists some positive constant 𝜀0 > 0 such that for all 𝜀 ∈ (0, 𝜀0), the above equation has two distinct solutions. Moreover, we consider a more general nonlinear equation $$\{\begin{array}{lll}-{\Delta}u=f(u)+{\varepsilon}h,&&\text{ in }{\Omega},\\u=0,&&\text{ on }{\partial}{\Omega},\end{array}$$ and prove similar result for certain nonlinear term f(u).

u-GIS National Land Information Providing System (u-GIS 국토정보 제공 시스템)

  • Kim, Jae-Chul;Lee, Kyu-Chul
    • Journal of Korea Spatial Information System Society
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    • v.11 no.1
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    • pp.1-8
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    • 2009
  • The u-GIS national land information providing technology is the technology which maximizes the application of u- GIS data through the national land information platform technique of the next generation web and provides a user with the on-demand national land information in the ubiquitous environment. Recently, as the environment emphasizing the web as a platform 'Web 2.0' emerges, the where 2.0 which is paradigm is diffused in the spatial information area. And the Geo-spatial Web technology develops in a center. Moreover, it is changed to the open platform of the user participation trend. And the consumer of the geo-spatial information is changed to the end-user center from the public institution. The geo-spatial technique is technologically faced with the new challenge. In this paper, we analyze the technical tendency about a paradigm, And we present the u-GIS national land information platform technique, the u-GIS national land information visualization technology, the u-GIS national land information GeoDRM integrative technique, and the u-GIS national land information mobile application technology as the essential elemental technology for overcoming this.

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A Study on the Design of u-Safety Service and Monitoring Infrastructure (u-방재 서비스 및 모니터링 인프라의 설계에 관한 연구)

  • Ock, Young-Seok;Ahn, Chang-Won;Kim, Min-Soo
    • The Journal of Society for e-Business Studies
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    • v.14 no.3
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    • pp.59-70
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    • 2009
  • By the time the interest on the u-City is continuously growing as a test bed for verifying the potentials of ubiquitous convergence industries, research on the u-Safety gradually increases as well, as a typical service and application area of u-City. Like the other service areas of u-City, in order to provide u-Safety services smoothly, it is crucial to integrally connect u-City services and infrastructures that have operated under distributed environment. In this study, we suggest an approach for design of u-Safety service and monitoring architecture by combing CIM/WBEM standard with GMA. CIM/WBEM and GMA are broadly applied in the distributed resource monitoring environment and are widely recognized as data acquisition architecture under massive monitoring data volumes respectively. Considering the growing research needs for standardization and extension of u-City service infrastructure, it is expected that our integrated infrastructure model will be used as a reference model for effective integration of distributed resources with newly added services.

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Regional Economic Impacts Induced by u-City Construction in Wha-sung and Dong-tan City (u-City 구축사업의 지역경제적 파급효과에 관한 연구)

  • Lee, Heon-Yeong;Choi, Yeseul;Lim, Up
    • Journal of Information Technology Services
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    • v.11 no.4
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    • pp.25-37
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    • 2012
  • In recent year, the u-City construction projects which integrate IT technology into urban infrastructures are being pushed forward by many local governments. These projects contain various purposes in an aspect of regional economy : to reinforce a competitiveness of region by increasing efficiency of urban managements and to revitalize regional economy by stimulating the regional high-tech industries that related to u-City construction. In this context, regional economic impact assessment of u-City construction projects is particularly important because, it give us information about effectiveness of u-City construction policy as a stimulus of regional high-tech industries and the policy feasibility of u-City construction projects that can be a base of public projects. However, it is challenging to assess the impact of u-City projects on regional economy properly due to a lack of understanding about industrial classification, and specific industrial inputs related to u-City construction. In this study, we suggest u-City industrial classifications, and specific-industrial inputs induced by u-City construction projects based on associated legislations, business report for a u-City construction, and results from previous studies. Using these classification and industrial input, we also investigate the regional economic impacts of a u-City construction project in Wha-sung and Dong-tan cities employing Input-output analysis. The empirical results suggests that u-City industries have relatively high in production inducement, and value added inducement compared to input of other industrial sectors. These results indicate that regional economic impact of a Wha-sung and Dong-tan u-City construction project are relatively high, but economic impacts of u-City construction projects vary according to the regional industrial structure, and the specific expense accounts of u-City construction projects.

BIHARMONIC-KIRCHHOFF TYPE EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT WITH SINGULAR TERM

  • Tahri, Kamel;Yazid, Fares
    • Communications of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.247-256
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    • 2021
  • Using variational methods, we show the existence of a unique weak solution of the following singular biharmonic problems of Kirchhoff type involving critical Sobolev exponent: $$(\mathcal{P}_{\lambda})\;\{\begin{array}{lll}{\Delta}^2u-(a{\int}_{\Omega}{\mid}{\nabla}u{\mid}^2dx+b){\Delta}u+cu=f(x){\mid}u{\mid}^{-{\gamma}}-{\lambda}{\mid}u{\mid}^{p-2}u&&\text{ in }{\Omega},\\{\Delta}u=u=0&&\text{ on }{\partial}{\Omega},\end{array}$$ where Ω is a smooth bounded domain of ℝn (n ≥ 5), ∆2 is the biharmonic operator, and ∇u denotes the spatial gradient of u and 0 < γ < 1, λ > 0, 0 < p ≤ 2# and a, b, c are three positive constants with a + b > 0 and f belongs to a given Lebesgue space.

Modelling a Virtuous Cycled U-City for the Sustainable U-City (지속가능한 U-City 운영을 위한 선순환 U-City모델의 개발방향 연구)

  • Kim, Bok-Hwan;Koo, Jee-Hee;Kwak, In-Young
    • Journal of Korea Spatial Information System Society
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    • v.11 no.1
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    • pp.145-156
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    • 2009
  • Ubiquitous City(U-City) in Korea is not a fantastic wonderland but an on-going real phenomenon. Many researchers so far have mainly dealt with a rosy future where U-City would potentially promise the high Quality of Life and positive economic effects. However, a suspicion of unexpected disadvantages can be able to take place in the bright future of U-City : the running cost of U-City. Without full consideration of it, descendants living in the U-City in near future will suffer from the heavy burden in operating the U-City. Given this circumstantial background, the aim of this study is to indicate potential solutions to address a sustainable U-City controlled by the virtuous cycled mechanism toward a self-sufficient city, which will illuminate a new paradigm of the city history. Solutions were sought from the several viewpoints, which were behavioral and institutional aspects, developing profitable business models and core technologies applicable to U-City, and building self-owned networks. Based on this preliminary study, further efforts and devotion to seeking virtuous-cycled U-City model will contribute to bringing a prominent future of U-City whose belongings will be able to manage to enjoy better quality of life.

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