• 제목/요약/키워드: existence of weak solution

검색결과 77건 처리시간 0.022초

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

  • Tahri, Kamel;Yazid, Fares
    • 대한수학회논문집
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    • 제36권2호
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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.

OPTIMAL CONTROL PROBLEMS FOR THE SEMILINEAR SECOND ORDER EVOLUTION EQUATIONS

  • Park, Jong-Yeoul;Park, Sun-Hye
    • 대한수학회지
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    • 제40권5호
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    • pp.769-788
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    • 2003
  • In this paper, we study the optimal control for the damped semilinear hyperbolic systems with unknown parameters (C(t)y')'+ $A_2$(t, q)y'+ $A_1$(t, q)y = f(t, q, y, u). We will prove the existence of weak solution of this system and is to find the optimal control pair (q, u) $\in$ $Q_{t}$ ${\times}$ $U_{ad}$ such that in $f_{u}$$\in$ $Q_{t}$/ J(q, u) = J(q, u).$_{t}$/ J(q, u) = J(q, u).

전자기파를 이용한 터널전방 예측 -해석기법 중심으로 (Prediction of ground-condition ahead of tunnel face using electromagnetic wave - analytical study)

  • 최준수;조계춘;이근하;윤지남
    • 한국터널지하공간학회 논문집
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    • 제6권4호
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    • pp.327-343
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    • 2004
  • 터널 시공 도중이나 터널 굴착 직후 주지보재에 의한 보강 전에 터널막장 전방에 존재하는 연약암반 혹은 단층파쇄대로 인해 유발되는 터널막장의 붕괴사고가 빈번이 일어나고 있다. 기존의 지반탐사방법으로는 터널막장부근에 있는 연약암반이나 단층파쇄대를 찾기 어렵다. 본 연구에서는 이러한 문제점들을 극복하고 기존의 탐사방법들을 보완하기 위해 전자기파를 이용한 터널전방 예측방법을 제안하였다. 전기장의 특성을 고려한 Coulomb 및 Gauss 법칙을 이용하여 절리를 가지는 암반에서의 전기장을 해석하였다. 이를 바탕으로 터널막장 전방에 구형연약암반과 단층파쇄대가 존재하는 경우에 대하여 각각 전기장해석을 수행하여 이론식을 도출하였다. 또한 개발된 해석기법을 작용하여 터널 전방에 구형연약이역과 단층파쇄대가 존재하는 경우에 대하여 예제해석을 수행하였다. 해석결과는 터널 전방에 부착된 몇 개의 전극에서 측정된 암반의 저항으로부터 역함수기법을 이용하여 터널 전방에 존재하는 연약지역의 등가 크기, 위치 및 성질을 정확하게 예측할 수 있음을 보여주었다. 암반에서의 전기저항 가탐심도는 터널막장의 크기, 자연전위 및 기타 전기적 신호에 의해 영향을 받음을 알 수 있었다. 제시된 해석기법은 실내시험을 통하여 검증하였다. 가로, 세로, 높이가 각각 5cm인 콘크리트 블록 1800여 개를 가지고서 3방향 절리를 가진 암반상태를 구현하였고 터널 전방에 전기전도도가 콘크리트 블록보다 상대적으로 높은 물질을 이용하여 연약지반을 구현하였다. 모델링을 통한 실험결과는 해석결과와 거의 일치함을 보여주었다.

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MOBIGSS: 모바일 인터넷에서의 그룹의사결정지원시스템 (MOBIGSS: A Group Decision Support System in the Mobile Internet)

  • 조윤호;최상현;김재경
    • 지능정보연구
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    • 제12권2호
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    • pp.125-144
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    • 2006
  • 최근들어 모바일 환경에서 운영되는 많은 응용시스템들이 개발되고 있다. 대부분의 시스템들은 모바일 사용자와의 단순한 상호작용만을 필요로 하는 메시지 전송, 은행 거래, 위치 서비스 등을 위한 것들이다. 단순한 기능만을 지원하는 이유는 모바일 장치가 스크린 크기가 제한적이고, 네트워크 대역폭이 좁으며, 컴퓨팅 능력이 낮기 때문이다. 이와 같은 이유로 모바일 장치를 활용하여 그룹의사결정을 지원하는 복잡한 알고리즘을 구현하는 것은 거의 불가능하였다. 본 연구에서는 모바일 환경에서의 그룹의사결정 과정을 지원하기 위하여 간결한 상호교호적 절차를 제시하고자 한다. 이 상호교호적 절차는 모바일 환경에서 그룹의 절충해를 선택하도록 돕기 위한 다목적 선형계획 프로그램에 기반을 두고 있다. 이 절차를 활용하게 되면 그룹의사결정자들의 정보제공의 부담을 줄여줄 수 있다. 최선의 절충해를 찾기 위해서 변수 및 목적식에 대한 부분적 순위 정보만을 활용하였다. 본 방법론은 의사결정자의 효용함수에 대한 형태 혹은 존재 여부에 대한 어떠한 가정도 하지 않고 있다. 본 절차의 실험적 연구를 위해서 모바일 환경에서의 그룹의사결정지원시스템인, MOBIGSS를 개발하였으며, 이 시스템을 개인 투자자의 자산 투자 문제에 적용하였다.

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펄스 레이저 증착법으로 제작된 다강체 $0.7BiFeO_3-0.3BaTiO_3$ 박막의 특성 연구 (Preparation and Characterization of Multiferroic $0.7BiFeO_3-0.3BaTiO_3$ Thin Films by Pulsed Laser Deposition)

  • 김경만;;;조영걸;이희영
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2009년도 추계학술대회 논문집
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    • pp.88-88
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    • 2009
  • $BiFeO_3$(BFO), when forming a solid solution with $BaTiO_3$(BTO), shows structural transformations over the entire compositional range, which not only gives a way to increase structural stability and electrical resistivity but also applies a means to have better ferromagnetic ordering. In this respect, we have prepared and studied 0.7BFO-0.3BTO thin films on $Pt(111)/TiO_2/SiO_2/Si$ substrates by pulsed laser deposition. Various deposition parameters, such as deposition temperature and oxygen pressure, have been optimized to get better quality films. Based on the X-ray diffraction results, thin films were successfully deposited at the temperature of $600^{\circ}C$ and an oxygen partial pressure of 10mTorr. The dielectric, ferroelectric, and magnetic properties have then been characterized. It was found that the films deposited under lower oxygen pressure corresponded to lower leakage current. Magnetism measurement showed an induced ferromagnetism. The microstructures associated with. the magnetic and dielectric properties of this mixed-perovskite solid solutions were observed by transmission electron. microscopy, which revealed the existence of complicated ferroelectric domains, suggested that the weak spontaneous magnetization was closely associated with the decrease in the extent of rhombohedral distortion by a partial substitution of $BaTiO_3$ for $BiFeO_3$.

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PREPARATION AND CHARACTERIZATION OF MULTIFERROIC 0.8 $BiFeO_3$-0.2 $BaTiO_3$ THIN FIMLS BY PULSED LASER DEPOSITION

  • ;;;이희영
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2010년도 하계학술대회 논문집
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    • pp.313-313
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    • 2010
  • $BiFeO_3$ (BFO), when forming a solid solution with $BaTiO_3$ (BTO), shows structural transformations over the entire compositional range, which not only gives a way to increase structural stability and electrical resistivity but also applies a means to have better ferromagnetic ordering. In this respect, we have prepared and studied 0.8 BFO-0.2 BTO thin films on Pt(111)/$TiO_2/SiO_2$/Si substrates by pulsed laser deposition. Various deposition parameters, such as deposition temperature and oxygen pressure, have been optimized to get better quality films. Based on the X-ray diffraction results, thin films were successfully deposited at the temperature of $700^{\circ}C$ and an oxygen partial pressure of 10mTorr and 330mTorr. The dielectric, ferroelectric, and magnetic properties have then been characterized. It was found that the films deposited under lower and higher oxygen pressure corresponded to lower leakage current. Magnetism measurement showed an induced ferromagnetism. The microstructures associated with the magnetic and dielectric properties of this mixed-perovskite solid solutions were observed by transmission electron microscopy, which revealed the existence of complicated ferroelectric domains, suggested that the weak spontaneous magnetization was closely associated with the decrease in the extent of rhombohedral distortion by a partial substitution of $BaTiO_3$ for $BiFeO_3$.

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1930년대 중국 문서당안 행정개혁론의 이해 (The Records and Archives Administrative Reform in China in 1930s)

  • 이원규
    • 기록학연구
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    • 제10호
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    • pp.276-322
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    • 2004
  • Historical interest in China in 1930s has been mostly focused on political characteristic of the National Government(國民政府) which was established by the KMT(中國國民黨) as a result of national unification. It is certain that China had a chance to construct a modern country by the establishment of the very unified revolutionary government. But, it was the time of expanding national crises that threatened the existence of the country such as the Manchurian Incident and the Chinese-Japanese War as well as the chaos of the domestic situation, too. So it has a good reason to examine the characteristic and pattern of the response of the political powers of those days. But, as shown in the recent studies, the manifestation method of political power by the revolutionary regime catches our attention through the understanding of internal operating system. Though this writing started from the fact that the Nationalist Government executed the administrative reform which aimed at "administrative efficiency" in the middle of 1930s, but it put stress on the seriousness of the problem and its solution rather than political background or results. "Committee on Administrative Efficiency(行政效率委員會)", the center of administrative reform movement which was established in 1934, examined the plan to execute the reform through legislation by the Executive Council(行政院) on the basis of the results of relevant studies. They claimed that the construction of a modern country should be performed by not political revolution anymore but by gradual improvement and daily reform, and that the operation of the government should become modern, scientific and efficient. There were many fields of administrative reform subjects, but especially, the field of records and archives adminstration(文書檔案行政) was studied intensively from the initial stage because that subject had already been discussed intensively. They recognized that records and archives were the basic tool of work performance and general activity but an inefficient field in spite of many input staff members, and most of all, archival reform bring about less conflicts than the fields of finance, organization and personnel. When it comes to the field of records adminstration, the key subjects that records should be written simply, the process of record treatment should be clear and the delay of that should be prevented were already presented in a records administrative meeting in 1922. That is, the unified law about record management was not established, so each government organization followed a conventional custom or performed independent improvement. It was through the other records administrative workshop of the Nationalist Government in 1933 when the new trend was appeared as the unified system improvement. They decided to unify the format of official records, to use marker and section, to unify the registration of receipt records and dispatch records and to strengthen the examination of records treatment. But, the method of records treatment was not unified yet, so the key point of records administrative reform was to establish a unified and standard record management system for preventing repetition by simplifying the treatment procedure and for intensive treatment by exclusive organizations. From the foundation of the Republic of China to 1930s, there was not big change in the field of archives administration, and archives management methods were prescribed differently even in the same section as well as same department. Therefore, the point at issue was to centralize scattered management systems that were performed in each section, to establish unified standard about filing and retention period allowance and to improve searching system through classification and proper number allowance. Especially, the problem was that each number system and classification system bring about different result due to dual operation of record registration and archives registration, and that strict management through mutual contrast, searching and application are impossible. Besides, various problems such as filing tools, arrangement method, preservation facilities & equipment, lending service and use method were raised also. In the process this study for the system improvement of records and archives management, they recognized that records and archives are the identical thing and reached to create a successive management method of records and archives called "Records and Archives Chain Management Method(文書檔案連鎖法)" as a potential alternative. Several principles that records and archives management should be performed unitedly in each organization by the general record recipient section and the general archives section under the principle of task centralization, a consistent classification system should be used by classification method decided in advance according to organizational constitution and work functions and an identical number system should be used in the process of record management stage and archive management stage by using a card-type register were established. Though, this "Records and Archives Chain Management Method" was developed to the stage of test application in several organizations, but it was not adopted as a regular system and discontinued. That was because the administrative reform of the Nationalist Government was discontinued by the outbreak of the Chinese-Japanese War. Even though the administrative reform in the middle of 1930s didn't produce practical results but merely an experimentation, it was verified that the reform against tradition and custom conducted by the Nationalist Government that aimed for the construction of a modern country was not only a field of politics, but on the other hand, the weak basis of the government operation became the obstacle to the realization of the political power of the revolutionary regime. Though the subject of records and archives administrative reform was postponed to the future, it should be understood that the consciousness of modern records and archives administration and overall studies began through this examination of administrative reform.