Results 31 to 40 of about 172,487 (303)
On convergence of gradient-dependent integrands [PDF]
We study convergence properties of {υ(∇uk)}k∈ℕ if υ ∈ C(ℝm×m), |υ(s)| ⩽ C(1+|s|p), 1 < p < + ∞, has a finite quasiconvex envelope, uk → u weakly in W1,p (Ω; ℝm) and for some g ∈ C(Ω) it holds that ∫Ωg(x)υ(∇uk(x))dx → ∫Ωg(x)Qυ(∇u(x))dx as k → ∞. In particular, we give necessary and sufficient conditions for L1-weak convergence of {det ∇uk}k∈ℕ to det ∇u ...
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Range dependent phase gradient autofocus [PDF]
The Phase Gradient Autofocus (PGA) algorithm has been widely used in spotlight synthetic aperture radar (SAR) to remove motion-induced blurs in the images. The PGA algorithm has been proven to be a superior autofocus method. PGA assumes a narrow beam, which is valid for most SAR systems.
A.E. Robertson +4 more
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Non-local gradient dependent operators
AbstractIn this paper we study a general class of “quasilinear non-local equations” depending on the gradient which arises from tug-of-war games. We establish a Cα/C1,α/C2,α regularity theory for these equations (the kind of regularity depending on the assumptions on the kernel), and we construct different non-local approximations of the p-Laplacian.
Clayton Bjorland +2 more
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Location of solutions for quasi-linear elliptic equations with general gradient dependence
Existence and location of solutions to a Dirichlet problem driven by $(p,q)$-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution.
Dumitru Motreanu, Elisabetta Tornatore
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Density-dependence tips the change of plant–plant interactions under environmental stress
Density-dependence is rarely accounted for in plant-plant facilitation studies. Here the authors develop a framework that incorporates density-dependence in the stress-gradient hypothesis, and test it first through modeling and then empirically on ...
Ruichang Zhang, Katja Tielbörger
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Dispersive properties of gradient-dependent and rate-dependent media
The dispersive behaviour of waves propagating in gradient-dependent and rate-dependent media is investigated analytically and numerically. Attention is focused on the proper modelling of dynamic strain localisation and the crucial role that dispersion plays in this.
de R René Borst, Lambertus J. Sluys
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Gravity is the primary load source in geotechnical engineering, and its effect becomes extremely important in these cases such as lunar research station construction and in situ resource utilization. However, at the current stage, the study on the effect
Ruilin Li +4 more
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Measuring the time/frequency dependence of diffusion MRI is a promising approach to distinguish between the effects of different tissue microenvironments, such as membrane restriction, tissue heterogeneity, and compartmental water exchange. In this study,
Erpeng Dai +7 more
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In this note we provide an overview of some existence (with sign information) and regularity results for differential equations, in which the method of sub and supersolutions plays an important role.
Giuseppina Barletta
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THE ABUNDANCE OF HELIUM AND STELLAR PULSATION
Radial gradient of relative amplitude of the light variation FV for galactic classical Cepheids is found. The gradient has different signs for two cases: P > 8d and P < 8d. For P > 8d the gradient is negative.
V. V. Kovtyukh
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