• Title/Summary/Keyword: U33

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CONTROLLABILITY OF NONLINEAR DELAY PARABOLIC EQUATIONS UNDER BOUNDARY CONTROL

  • Park, Jong-Yeoul;Kwun, Young-Chel;Jeong, Jin-Mun
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.333-346
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    • 1996
  • Let $A(\zeta, \partial)$ be a second order uniformly elliptic operator $$ A(\zeta, \partial )u = -\sum_{j, k = 1}^{n} \frac{\partial\zeta_i}{\partial}(a_{jk}(\zeta)\frac{\partial\zeta_k}{\partial u}) + \sum_{j = 1}^{n}b_j(\zeta)\frac{\partial\zeta_j}{\partial u} + c(\zeta)u $$ with real, smooth coefficients $a_{j, k}, b_j$, c defined on $\zeta \in \Omega, \Omega$ a bounded domain in $R^n$ with a sufficiently smooth boundary $\Gamma$.

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ON A TWO WEIGHTS ESTIMATE FOR THE COMMUTATOR

  • Chung, Daewon
    • East Asian mathematical journal
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    • v.33 no.1
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    • pp.103-113
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    • 2017
  • We provide quantitative two weight estimates for the commutator of the Hilbert transform under certain conditions on a pair of weights (u, v) and b in $Carl_{u,v}$. In [10] and [11], Bloom's inequality is shown in a modern setting, and the boundedness of the commutators is provided by assuming both weights u, v are $A_2$ and $b{\in}BMO_{\rho}$. In the present paper we show that the condition on b can be replaced by $Carl_{u,v}$ by using the joint $A^d_2$ condition.

POSITIVE SOLUTIONS ON NONLINEAR BIHARMONIC EQUATION

  • Choi, Q-Heung;Jung, Tacksun
    • Korean Journal of Mathematics
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    • v.5 no.1
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    • pp.29-33
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    • 1997
  • In this paper we investigate the existence of positive solutions of a nonlinear biharmonic equation under Dirichlet boundary condition in a bounded open set ${\Omega}$ in $\mathbf{R}^n$, i.e., $${\Delta}^2u+c{\Delta}u=bu^{+}+s\;in\;{\Omega},\\u=0,\;{\Delta}u=0\;on\;{\partial}{\Omega}$$.

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Metformin induced acute pancreatitis and lactic acidosis in a patient on hemodialysis (혈액투석 환자에서 메트포르민 복용으로 발생한 급성췌장염과 젖산산증)

  • Lee, Yeon-Kyung;Lim, Kihyun;Hwang, Su-Hyun;Ahn, Young-Hwan;Shin, Gyu-Tae;Kim, Heungsoo;Park, In-Whee
    • Journal of Yeungnam Medical Science
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    • v.33 no.1
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    • pp.33-36
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    • 2016
  • Metformin, commonly prescribed for type 2 diabetes, is considered safe with minimal side-effect. Acute pancreatitis is rare but potentially fatal adverse side-effect of metformin. We report a patient on hemodialysis with metformin-related acute pancreatitis and lactic acidosis. A 62-year-old woman with diabetic nephropathy and hypertension presented with nausea and vomiting for a few weeks, followed by epigastric pain. At home, the therapy of 500 mg/day metformin and 50 mg/day sitagliptin was continued, despite symptoms. Laboratory investigations showed metabolic acidosis with high levels of lactate, amylase at 520 U/L (range, 30-110 U/L), and lipase at 1,250 U/L (range, 23-300 U/L). Acute pancreatitis was confirmed by computed tomography. No recognized cause of acute pancreatitis was identified. Metformin was discontinued. Treatment with insulin and intravenous fluids resulted in normalized amylase, lipase, and lactate. When she was re-exposed to sitagliptin, no symptoms were reported.

The Design and Manufactured of U-Slot Broadband Antenna using L-Shaped 800MHz Band (800MHz 대역용 L형 급전구조를 이용한 U-Slot 광대역 안테나 설계 및 제작)

  • Kim, Kab-Ki
    • Journal of Advanced Navigation Technology
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    • v.10 no.4
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    • pp.342-347
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    • 2006
  • In this paper, we have designed 800[MHz] broad band antenna that is improves a narrow bandwidth problem of microstrip antenna and it will be able to integrate GSM, TRS band including the CDMA band. It had L-shaped feeding structure and added the U-slot it used a duplex resonance effect. Also for the improvement of profit the stack it did with the perpendicular. It seems to be good quality that design and manufactured antenna frequency bandwidth(VSWR 2:1) is 789~1086[MHz] with 297[MHz](33%). Also the E-plan and H-plan all profit 9.4[dBi] above, 3[dB] beam width was visible the quality which above $61^{\circ}$ is improved.

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Determination of the Spontaneous Fission Rate of $^{238}U$ Using Solid State Track Recorder (고체비적검출기(固體飛跡檢出器)를 이용(利用)한 $^{238}U$의 자발핵분열율(自發核分裂率) 결정(決定))

  • Ro, Seung-Gy;Yook, Chong-Chul;Koh, Byung-Ryung
    • Journal of Radiation Protection and Research
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    • v.10 no.2
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    • pp.144-147
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    • 1985
  • The spontaneous fission rate of $^{238}U$ has been determined using a solid state track recorder that was a pre-etched mica. Counting the tracks revealed in mica made it possible to calculate the spontaneous fission rate. The mica remained in close contact with a $^{238}UO_2$ foil for about five years. The resulting fission rate was $5.21{\pm}0.33$ fissions/g-sec.

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