Results 11 to 20 of about 321,760 (289)
On the Regularity of Non-scattering Anisotropic Inhomogeneities [PDF]
Archive for Rational Mechanics and Analysis, 2023 In this paper we examine necessary conditions for an anisotropic inhomogeneous medium to be non-scattering at a single wave number and for a single incident field. These conditions are expressed in terms of the regularity of the boundary of the inhomogeneity.
Fioralba Cakoni +2 more
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Regularity of anisotropic refinable functions [PDF]
Applied and Computational Harmonic Analysis, 2019 This paper presents a detailed regularity analysis of anisotropic wavelet frames and subdivision. In the univariate setting, the smoothness of wavelet frames and subdivision is well understood by means of the matrix approach. In the multivariate setting, this approach has been extended only to the special case of isotropic refinement with the dilation ...
Charina, Maria, Protasov, Vladimir
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Regularity of solutions to anisotropic nonlocal equations [PDF]
Mathematische Zeitschrift, 2020 AbstractWe study harmonic functions associated to systems of stochastic differential equations of the form $$dX_t^i=A_{i1}(X_{t-})dZ_t^1+\cdots +A_{id}(X_{t-})dZ_t^d$$ d X t i = A i 1 ( X t - ) d Z t 1 + ⋯ + A id ( X t - ) d Z t d , $$i\in \{1,\dots ,d\}$$ i ∈ { 1 , ⋯ , d } , where $$Z_t^j$$ Z t j are independent one ...
Chaker, Jamil
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Anisotropic regularity principle in sequence spaces and applications [PDF]
Communications in Contemporary Mathematics, 2018 We refine a recent technique introduced by Pellegrino, Santos, Serrano and Teixeira and prove a quite general anisotropic regularity principle in sequence spaces. As applications, we generalize previous results of several authors regarding Hardy–Littlewood inequalities for multilinear forms.
Albuquerque, Nacib, Rezende, Lisiane
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Regularity for an anisotropic equation in the plane [PDF]
Nonlinear Analysis, 2018 We present a simple proof of the $C^1$ regularity of $p$-anisotropic functions in the plane for $2\leq ...
Lindqvist, Peter, Ricciotti, Diego
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Hölder regularity for bounded solutions to a class of anisotropic operators [PDF]
manuscripta mathematica, 2018 The authors consider the following class of anisotropic elliptic equations \[ \sum^{N-1}_{i=1}\frac{\partial}{\partial x_i} A_{q,i} (x, u, Du) + \frac{\partial}{\partial x_N} A_p(x, u, Du) =0\quad\text{in}\quad \Omega, \tag{1} \] with \(\Omega\subset \mathbb{R}^N\) a regular domain, \(p > q > 1\). The functions \(A_{q,i} (x, u, Du)\) and \(A_p(x, u, Du)
Stella Piro Vernier +2 more
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Some regularity results for anisotropic motion of fronts
Differential and Integral Equations, 2002 This paper concerns the regularity of fronts propagating in the environment being anisotropic and inhomogeneous. It is proved that under appropriate assumptions there is at most one normal direction at each point of the front. With the help of this result the author shows that convex fronts are \(C^{1,1}\).
Imbert, Cyril
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A Generative AI Framework to Predict Cardiomyocyte Contraction Function From Single Static Images [PDF]
Advanced Intelligent Discovery, EarlyView.A single static hiPSC‐cardiomyocyte image is fed into a U‐Net‐GAN framework, which directly predicts a pixel‐resolved contraction heatmap without time‐lapse imaging. StyleGAN2‐generated synthetic cell–heatmap pairs augment training, improving prediction fidelity (SSIM = 0.84).
Andrew Kowalczewski +5 more
wiley +2 more sources
Stable Anisotropic Regularization
CoRR, 2023 Given the success of Large Language Models (LLMs), there has been considerable interest in studying the properties of model activations. The literature overwhelmingly agrees that LLM representations are dominated by a few "outlier dimensions" with exceedingly high variance and magnitude.
William Rudman, Carsten Eickhoff
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A regularity result for a class of anisotropic systems
, 1996 We provide partial regularity of minimizers of the functional I(u) = \int\Omega G(Du), where G is a convex integrand satisfying anisotropic growth condition. No special structure assumption is needed on G.
PASSARELLI DI NAPOLI, ANTONIA, F. Siepe
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