The Monge-Ampère Energy Class E $$E$$

Author(s):  
Eleonora Di Nezza
Keyword(s):  
2014 ◽  
Vol 25 (05) ◽  
pp. 1450042 ◽  
Author(s):  
Le Mau Hai ◽  
Pham Hoang Hiep ◽  
Nguyen Xuan Hong ◽  
Nguyen Van Phu

In the paper, we prove the existence of solutions of the complex Monge–Ampère type equation -χ(u)(ddcu)n = μ in the class [Formula: see text] if there exist subsolutions in this class. As an application, we prove that the complex Monge–Ampère equation (ddcu)n = μ is solvable in the class [Formula: see text] if there exist subsolutions locally. Moreover, by an example we show that the conditions in our above result are sharp.


2005 ◽  
Vol 97 (2) ◽  
pp. 201 ◽  
Author(s):  
Urban Cegrell ◽  
Jonas Wiklund

We consider differences of plurisubharmonic functions in the energy class $\mathcal{F}$ as a linear space, and equip this space with a norm, depending on the generalized complex Monge-Ampère operator, turning the linear space into a Banach space $\delta \mathcal{F}$. Fundamental topological questions for this space is studied, and we prove that $\delta\mathcal{F}$ is not separable. Moreover we investigate the dual space. The study is concluded with comparison between $\delta \mathcal{F}$ and the space of delta-plurisubharmonic functions, with norm depending on the total variation of the Laplace mass, studied by the first author in an earlier paper [7].


2015 ◽  
Vol E98.C (4) ◽  
pp. 377-379
Author(s):  
Jonggyun LIM ◽  
Wonshil KANG ◽  
Kang-Yoon LEE ◽  
Hyunchul KU

2020 ◽  
Vol 46 (6) ◽  
pp. 1221-1228
Author(s):  
O. O. Mikheeva ◽  
M. A. Kostromina ◽  
D. D. Lykoshin ◽  
M. N. Tereshin ◽  
S. K. Zavriev ◽  
...  

2020 ◽  
Vol 14 (2) ◽  
pp. 127-135
Author(s):  
Yu. V. Shevchenko ◽  
V. V. Yakovenko

2021 ◽  
Author(s):  
Ahmad Fariz Hasan ◽  
Sohiful Anuar Zainol Murad ◽  
Faizah Abu Bakar

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 46664-46673
Author(s):  
Hussein Mahdi ◽  
Ahmed M. Ammar ◽  
Yasser Nour ◽  
Michael A. E. Andersen
Keyword(s):  

2021 ◽  
Vol 11 (9) ◽  
pp. 3727
Author(s):  
Ingrid Casallas ◽  
Carlos-Ivan Paez-Rueda ◽  
Gabriel Perilla ◽  
Manuel Pérez ◽  
Arturo Fajardo

This paper proposes an analytical expression set to determine the maximum values of currents and voltages in the Class-E Power Amplifier (PA) with Finite DC-Feed Inductance (FDI) under the following assumptions—ideal components (e.g., inductors and capacitors with infinite quality factor), a switch with zero rise and fall commutation times, zero on-resistance, and infinite off-resistance, and an infinite loaded quality factor of the output resonant circuit. The developed expressions are the average supply current, the RMS (Root Mean Square) current through the DC-feed inductance, the peak voltage and current in the switch, the RMS current through the switch, the peak voltages of the output resonant circuit, and the peak voltage and current in the PA load. These equations were obtained from the circuit analysis of this ideal amplifier and curve-fitting tools. Furthermore, the proposed expressions are a useful tool to estimate the maximum ratings of the amplifier components. The accuracy of the expressions was analyzed by the circuit simulation of twelve ideal amplifiers, which were designed to meet a wide spectrum of application scenarios. The resulting Mean Absolute Percentage Error (MAPE) of the maximum-rating constraints estimation was 2.64%.


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