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Search: All articles in the CMB digital archive with keyword Fourier restriction

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1. CMB 2011 (vol 56 pp. 326)

Erdoğan, M. Burak; Oberlin, Daniel M.
 Restricting Fourier Transforms of Measures to Curves in \$\mathbb R^2\$ We establish estimates for restrictions to certain curves in \$\mathbb R^2\$ of the Fourier transforms of some fractal measures. Keywords:Fourier transforms of fractal measures, Fourier restrictionCategories:42B10, 28A12

2. CMB 2009 (vol 53 pp. 295)

Guo, Boling; Huo, Zhaohui
 The Global Attractor of a Damped, Forced Hirota Equation in \$H^1\$ The existence of the global attractor of a damped forced Hirota equation in the phase space \$H^1(\mathbb R)\$ is proved. The main idea is to establish the so-called asymptotic compactness property of the solution operator by energy equation approach. Keywords:global attractor, Fourier restriction norm, damping system, asymptotic compactnessCategories:35Q53, 35B40, 35B41, 37L30

3. CMB 2005 (vol 48 pp. 260)

Oberlin, Daniel M.
 A Restriction Theorem for a \\\$k\$-Surface in \$\mathbb R ^n\$ We establish a sharp Fourier restriction estimate for a measure on a \$k\$-surface in \$\mathbb R ^n\$, where \$n=k(k+3)/2\$. Keywords:Fourier restrictionCategory:42B10