Results 11 to 20 of about 516,056 (300)
We consider the regularity of solutions for some parabolic equations. We show Holder continuity with exponent $(1+\alpha )/2$, with respect to the time variable, when the gradient in the space variable of the solution has the Holder continuity with ...
Junichi Aramaki
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Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation $$ u_t - \hbox{div} \Big(\frac{g(|Du|)}{|Du|} Du\Big) = 0, $$ where g is a nonnegative, increasing, and continuous function trapped in between two
Sukjung Hwang, Gary M. Lieberman
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Holder continuity for (p,q)-Laplace equations that degenerate uniformly on part of the domain
In this article we consider p(x)-Laplace equations with two-phase degree p(x), taking two values p and q, when the boundary of the phase interface is a hyperplane.
Sarvan T. Huseynov
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Global Bandits with Holder Continuity
Standard Multi-Armed Bandit (MAB) problems assume that the arms are independent. However, in many application scenarios, the information obtained by playing an arm provides information about the remainder of the arms. Hence, in such applications, this informativeness can and should be exploited to enable faster convergence to the optimal solution.
Onur Atan +2 more
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Tailored Holder for Continuous Echocardiographic Monitoring
Hemodynamic monitoring is essential for prompt and effective interventions in intensive care unit patients. We developed a custom-made transthoracic echocardiography transducer holder consisting of transducer holder and skin patch attachment. This holder allowed continuous transthoracic echocardiography monitoring in 5 adult patients with circulatory ...
Haibo, Song, Shen Kou, Tsai, Jin, Liu
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Logarithmic Hölder continuous mappings and Beltrami equation [PDF]
The paper is devoted to the study of mappings satisfying the inverse Poletsky inequality. We study the local behavior of these mappings, moreover, we are most interested in the case when the corresponding majorant is integrable on some set of spheres of positive linear measure.
Evgeny Sevost’yanov, Sergei Skvortsov
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Differentiability of Hölder-continuous semigroups [PDF]
1. A semigroup is a mapping u: R+-+A of the positive half line into an algebra with unit such that u(O) = 1, u(s+t) =u(s)u(t). We assume that A is a b-algebra. The semigroup is differentiable if u is a differentiable mapping of R+ into A. It is Holder-continuous if some p>0 exists such that (u(t) 1)/tP is bounded on some neighborhood of zero.
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Restrictions of Hölder continuous functions [PDF]
24 pages, 4 figures, final ...
Angel, Omer +3 more
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Georg Cantor (1845-1919), with his seminal work on sets and number, brought forth a new field of inquiry, set theory, and ushered in a way of proceeding in mathematics, one at base infinitary, topological, and combinatorial. While this was the thrust,
Kanamori, Akihiro, Akihiro Kanamori
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Mean Holder Continuity, Area Integral Means and Extremal Problems [PDF]
I will discuss mean H\ {o}lder continuity conditions for functions in Bergman spaces and the relation of these conditions with the growth of area integral means of derivatives of analytic functions.
Ferguson, Tim
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