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Extremal Solutions of Functional Differential Inclusions
Journal of Mathematical Analysis and Applications, 1993 Let \(X\) be a separable Banach space; \({\mathcal K}\subset X\) be a cone and \(v: [-\tau,a]\to X\) be a solution of a problem \(\dot v(t)\in F(t,v_ t)+{\mathcal K}\), \(t\in [0,a]\); \(v_ 0\geq\varphi\), where \(F\) is a Carathéodory type multifunction with convex closed values satisfying the Ambrosetti type regularity condition. The viability result
Hu, S.C. +2 more
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Exact solutions for extreme black hole magnetospheres [PDF]
Journal of High Energy Physics, 2015 We present new exact solutions of Force-Free Electrodynamics (FFE) in the Near-Horizon region of an Extremal Kerr black hole (NHEK) and offer a complete classification of the subset that form highest-weight representations of the spacetime's SL(2,R) x U(1) isometry group.
Lupsasca, Alexandru, Rodriguez, Maria
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Squashed, magnetized black holes in D = 5 minimal gauged supergravity
Journal of High Energy Physics, 2018 We construct a new class of black hole solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. These configurations are cohomogeneity-1, with two equal-magnitude angular momenta. In the generic case, they
Jose Luis Blázquez-Salcedo +3 more
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From rotating to charged black holes and back again
Journal of High Energy Physics, 2022 The mild form of the Weak Gravity Conjecture (WGC) requires higher derivative corrections to extremal charged black holes to increase their charge-to-mass ratio. This allows decay via emission of a smaller extremal black hole.
Lars Aalsma, Gary Shiu
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Solution of Extremely Large Integral-Equation Problems [PDF]
2007 International Conference on Electromagnetics in Advanced Applications, 2007 We report the solution of extremely large integral-equation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative methods, preconditioning techniques, and parallelization, we are able to solve scattering problems that are discretized with ...
Ergül, Özgür +2 more
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Upper and lower solution method for Hilfer fractional evolution equations with nonlocal conditions
Boundary Value Problems, 2019 This paper is concerned with the existence of extremal mild solutions for Hilfer fractional evolution equations with nonlocal conditions in an ordered Banach space E.
Haide Gou, Yongxiang Li
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A functional integral inclusion involving Carathéodories
Electronic Journal of Qualitative Theory of Differential Equations, 2003 In this paper the existence of extremal solutions of a functional integral inclusion involving Carathéodory is proved under certain monotonicity conditions.
Bapurao Dhage
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Discrete Dynamics in Nature and Society, 2020 This paper is concerned with the existence of extremal solutions for periodic boundary value problems for conformable fractional differential equations with deviating arguments.
Huiling Chen, Shuman Meng, Yujun Cui
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On Extremal Limits and Duality Orbits of Stationary Black Holes [PDF]
, 2013 With reference to the effective three-dimensional description of stationary, single center solutions to (ungauged) symmetric supergravities, we complete a previous analysis on the definition of a general geometrical mechanism for connecting global ...
Andrianopoli, Laura +2 more
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Extremal dynamics on complex networks: Analytic solutions [PDF]
Physical Review E, 2005 The Bak-Sneppen model displaying punctuated equilibria in biological evolution is studied on random complex networks. By using the rate equation and the random walk approaches, we obtain the analytic solution of the fitness threshold $x_c$ to be 1/(_f+1), where _f=/ (=) in the quenched (annealed) updating case, where is the n-th moment of the degree ...
Masuda, N., Goh, K. -I., Kahng, B.
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