• 제목/요약/키워드: operator domain

검색결과 143건 처리시간 0.039초

MULTIPLICITY OF SOLUTIONS FOR BIHARMONIC ELLIPTIC SYSTEMS INVOLVING CRITICAL NONLINEARITY

  • Lu, Dengfeng;Xiao, Jianhai
    • 대한수학회보
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    • 제50권5호
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    • pp.1693-1710
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    • 2013
  • In this paper, we consider the biharmonic elliptic systems of the form $$\{{\Delta}^2u=F_u(u,v)+{\lambda}{\mid}u{\mid}^{q-2}u,\;x{\in}{\Omega},\\{\Delta}^2v=F_v(u,v)+{\delta}{\mid}v{\mid}^{q-2}v,\;x{\in}{\Omega},\\u=\frac{{\partial}u}{{\partial}n}=0,\; v=\frac{{\partial}v}{{\partial}n}=0,\;x{\in}{\partial}{\Omega},$$, where ${\Omega}{\subset}\mathbb{R}^N$ is a bounded domain with smooth boundary ${\partial}{\Omega}$, ${\Delta}^2$ is the biharmonic operator, $N{\geq}5$, $2{\leq}q$ < $2^*$, $2^*=\frac{2N}{N-4}$ denotes the critical Sobolev exponent, $F{\in}C^1(\mathbb{R}^2,\mathbb{R}^+)$ is homogeneous function of degree $2^*$. By using the variational methods and the Ljusternik-Schnirelmann theory, we obtain multiplicity result of nontrivial solutions under certain hypotheses on ${\lambda}$ and ${\delta}$.

Analysis on the Calculation of Plasma Medium with Parallel SO-FDTD Method

  • Duan, Xule;Yang, Hong Wei;Kong, Xiangkun;Liu, Han
    • ETRI Journal
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    • 제31권4호
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    • pp.387-392
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    • 2009
  • This paper introduces a novel parallel shift operator finite-difference time-domain (SO-FDTD) method for plasma in the dispersive media. We calculate the interaction between the electromagnetic wave of various frequencies and non-magnetized plasma by using the parallel SO-FDTD method. Then, we compare the results,which are calculated with serial and parallel SO-FDTD executions to obtain the speedup ratio and validate the parallel execution. We conclude that the parallel SO method has almost the same precision as the serial SO method, while the parallel approach expands the scope of memory and reduces the CPU time.

퍼지추론을 이용한 연삭가공조건 설정용 전문가 시스템의 개발

  • 신상룡;김남경;송지복
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1992년도 추계학술대회 논문집
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    • pp.121-125
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    • 1992
  • Grinding is considered as a very effective machining technology to attain the good surface quality of a components. However, the grinding operation still needs the skill and experience of an operator because of a lack of scientific and engineering principles. Therefore, recent development focus on expert systems which deal with domain specific knowledge in order to solve this problem. This paper describes an expert system for selecting the optimism grinding wheel by using the fuzzy reasoning and operation conditions in grinding. By the system unskilled workers will be able to make use of the knowledge and experience of skilled workers. The system is consist of programs that, (1) selection of the best wheel form among avairable wheel by using fuzzy reasoning, (2) determine wheel depth of cut, feed and wheel speed for grinding, work speed, and dressing condition. The developed system perform in using the CLIPS as a software tool and run under the IBM PC/AT as a hardware tool.

ON THE COMMUTANT OF MULTIPLICATION OPERATORS WITH ANALYTIC POLYNOMIAL SYMBOLS

  • Robati, B. Khani
    • 대한수학회보
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    • 제44권4호
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    • pp.683-689
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    • 2007
  • Let $\mathcal{B}$ be a certain Banach space consisting of analytic functions defined on a bounded domain G in the complex plane. Let ${\varphi}$ be an analytic polynomial or a rational function and let $M_{\varphi}$ denote the operator of multiplication by ${\varphi}$. Under certain condition on ${\varphi}$ and G, we characterize the commutant of $M_{\varphi}$ that is the set of all bounded operators T such that $TM_{\varphi}=M_{\varphi}T$. We show that $T=M_{\Psi}$, for some function ${\Psi}$ in $\mathcal{B}$.

A NOTE ON ZEROS OF BOUNDED HOLOMORPHIC FUNCTIONS IN WEAKLY PSEUDOCONVEX DOMAINS IN ℂ2

  • Ha, Ly Kim
    • 대한수학회보
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    • 제54권3호
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    • pp.993-1002
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    • 2017
  • Let ${\Omega}$ be a bounded, uniformly totally pseudoconvex domain in ${\mathbb{C}}^2$ with the smooth boundary b${\Omega}$. Assuming that ${\Omega}$ satisfies the negative ${\bar{\partial}}$ property. Let M be a positive, finite area divisor of ${\Omega}$. In this paper, we will prove that: if ${\Omega}$ admits a maximal type F and the ${\check{C}}eck$ cohomology class of the second order vanishes in ${\Omega}$, there is a bounded holomorphic function in ${\Omega}$ such that its zero set is M. The proof is based on the method given by Shaw [27].

제한된 문서 영상에서 패턴 분절과 구분 처리에 관한 연구 (A Study on the Pattern Segmentation and Classification in Specially Documentated Imaged)

  • 옥철호;허도근;진용옥
    • 한국통신학회논문지
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    • 제14권6호
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    • pp.663-674
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    • 1989
  • 본 논문은 문서자동 처리시스템의 구현을 위하여 문서영상의 패턴 분절과 구분처리 방법에 대하여 기술하였다. 가우스 분포함수의 1차 미분 연산자에 의한 윤곽선 추출과 체인 코드법에 의한 영상 분절, 2차 적률과 2차원 Rf 거리 (변환 영역)등에 의한 패턴 구분을 행하였다. 제한된 영상에 대하여 적용한 결과 문자 영역이나 지문, 사진, 도장 등 도형정보 영역을 잘 구분할 수 있음을 알았으며 사용된 알고리즘의 유용성을 검증할 수 있었다.

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Simulated Annealing과 랜덤 프로세서가 적용된 유전 알고리즘을 이용한 퍼지 제어기의 설계 (Design of a Fuzzy Controller Using Genetic Algorithm Employing Simulated Annealing and Random Process)

  • 한창욱;박정일
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.140-140
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    • 2000
  • Traditional genetic algorithms, though robust, are generally not the most successful optimization algorithm on any particular domain. Hybridizing a genetic algorithm with other algorithms can produce better performance than both the genetic algorithm and the other algorithms. In this paper, we use random process and simulated annealing instead of mutation operator in order to get well tuned fuzzy rules. The key of this approach is to adjust both the width and the center of membership functions so that the tuned rule-based fuzzy controller can generate the desired performance. The effectiveness of the proposed algorithm is verified by computer simulation.

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정밀측정을 위한 카메라 보정에 관한 연구 (A Study on the Camera Calibration for Precision Measurement)

  • 김준희
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 1996년도 춘계학술대회 논문집
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    • pp.52-55
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    • 1996
  • Though the increment of using computer vision system in modern industry, there are lots of difficulties to measure precisely because of measurement error distortion phenomenon. Between these reasons, the distortion of edge is dominant reason which is occured by the blurred image. The blurred image is happened when camera can not discriminate its precise focus. To correct and generalize distortion phenomenon is imprrtant. Thus we must fix the discrimination criteria which is collected by image recognition of precise focus. The edge of image means discontinuous point of intensity, and the component of edge is discribed as high frequency component at special domain specturm of image. The good condition of focus means there are much high frequency energy in image. The method of discribing high frequency energy is gradient operater which determines the condition of focus.

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PLF(Probabilistic Load Flow)를 이용한 모선 전압 안전도 평가 (Security Assessment for Bus Voltages Using Probabilistic Load Flow)

  • 이승혁;정창호;김진오;김태균;추진부
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 추계학술대회 논문집 전력기술부문
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    • pp.28-30
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    • 2003
  • Probabilistic Load Flow(PLF) solution based on the method of moments is used for security assessment of bus voltages in power systems. Bus voltages, line currents, line admittances, generated real and reactive power, and bus loads are treated as complex random variables. These complex random variables are known in terms of probability density functions(PDF). Also, expressions for the convolutions of complex random variables in terms of moments and cumulants have been derived. Proposed PLF solution using the method of moments is fast, because the process of convolution of various complex random variables is performed in moment and cumulant domain. Therefore, the method is applied to security assessment of power systems in this paper. Finally, system operator also can be used information of security assessment to improve reliability of power systems.

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증기발생기 수위제어의 확률론적 안정성 (Nonlinear Stochastic Stability for Steam Generator Water Level Control System)

  • Park, You-Cho;Chung, Chang-Hyun;Oh, Je-Kyun
    • Nuclear Engineering and Technology
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    • 제27권2호
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    • pp.155-164
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    • 1995
  • 증기발생기 수위조절계통의 무작위추출 비선형 제어계통의 경우로 연구되었다. 무작위 변수로는 시간불연속 계통의 추출시간간격 이 고려되었다. Lyapunov 함수를 구하지 않는 확률론적 Lyapunov 방법이 용되었다. 유도된 안정성 요건은 CANDU 형 원자로인 월성 1호기의 자료를 이용하여 시간 존속 모사로 검증하였다.

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