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The local Tb theorem with rough test functions
local Tb theorem test functions Classical Analysis and ODEs
2012/6/21
We prove a version of the local Tb theorem under minimal integrability assumptions, answering a question of S. Hofmann (El Escorial, 2008): Every cube is assumed to support two non-degenerate function...
Bilinear local smoothing estimate and its application to the critical gKdV equation
gKdV equation bilinear local smoothing estimate blow up
2010/11/29
We prove an improved version of bilinear local smoothing estimate to Airy solutions.Using this we study a smoothing property of Duhamel part of nonlinear solutions to the mass-critical
generalized Kd...
$L^p$-estimates of the Botlzmann Equation around a traveling local Maxwellian
Boltzmann equation Lp-stability Lp-estimate travelling local Maxwellian
2010/12/13
In this paper, we are interested in the Lp-estimates of the Boltzmann equation in the case that the distribution function stays around a travelling local Maxwellian. For this, we divide both sides of ...