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Bilinear local smoothing estimate and its application to the critical gKdV equation
gKdV equation bilinear local smoothing estimate blow up
2010/9/1
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
2010/9/1
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 ...
In this article we study global in time (not necessarily small) solutions of the equation for the Higgs boson in the Minkowski and in the de Sitter spacetimes. We reveal some qualitative behavior of t...
The periodic Cauchy problem for Novikov's equation
periodic Cauchy problem Novikov's equation
2010/9/1
We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by V. Novikov. We show the local well-posedness of the problem in Sobolev spaces and existence and ...