• Title/Summary/Keyword: Nonexistence

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A Study on Strengthening Records Management as a Solution to the Nonexistence of Information (정보부존재 해결방안으로서 기록 생산단계 강화방안 연구)

  • Gwon, Hyeon Jin;Lee, Young Hak
    • Journal of Korean Society of Archives and Records Management
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    • v.18 no.4
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    • pp.25-43
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    • 2018
  • As nonexisting information affects actual information release rate, the study noted that the absence of records leads to the "nonexistence of information." Therefore, in this research, it was argued that records management should be thoroughly controlled from the stage of record production to solve problems such as the loss/damage/neglect/destruction/misclassification/ reduction of preservation periods and more. Through the management from the production stage, it is expected that the nonexistence of information problem will not occur and can be used as a tool for a demonstration of why the nonexistence of information exists even if such information occurs.

GLOBAL NONEXISTENCE FOR THE WAVE EQUATION WITH BOUNDARY VARIABLE EXPONENT NONLINEARITIES

  • Ha, Tae Gab;Park, Sun-Hye
    • Journal of the Korean Mathematical Society
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    • v.59 no.1
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    • pp.205-216
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    • 2022
  • This paper deals with a nonlinear wave equation with boundary damping and source terms of variable exponent nonlinearities. This work is devoted to prove a global nonexistence of solutions for a nonlinear wave equation with nonnegative initial energy as well as negative initial energy.

EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR A CLASS OF HAMILTONIAN STRONGLY DEGENERATE ELLIPTIC SYSTEM

  • Nguyen Viet Tuan
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.741-754
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    • 2023
  • In this paper, we study the existence and nonexistence of solutions for a class of Hamiltonian strongly degenerate elliptic system with subcritical growth $$\left{\array{-{\Delta}_{\lambda}u-{\mu}v={\mid}v{\mid}^{p-1}v&&\text{in }{\Omega},\\-{\Delta}_{\lambda}v-{\mu}u={\mid}u{\mid}^{q-1}u&&\text{in }{\Omega},\\u=v=0&&\text{ on }{\partial}{\Omega},}$$ where p, q > 1 and Ω is a smooth bounded domain in ℝN, N ≥ 3. Here Δλ is the strongly degenerate elliptic operator. The existence of at least a nontrivial solution is obtained by variational methods while the nonexistence of positive solutions are proven by a contradiction argument.