127 citations · 291 across the 19 of their papers we have counts for
22 papers
Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules
Yoshinori Morimoto, Chao-Jiang Xu
We consider the Cauchy problem of the nonlinear Landau equation of Maxwellian molecules, under the perturbation frame work to global equilibrium. We show that if $H^r_x(L^2_v), r >…
Non-Cutoff Boltzmann Equation with Polynomial Decay Perturbation
Ricardo Alonso, Yoshinori Morimoto, Weiran Sun +1
The Boltzmann equation without an angular cutoff is considered when the initial data is a small perturbation of a global Maxwellian with an algebraic decay in the velocity variable…
Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff
Yoshinori Morimoto, Shuaikun Wang, Tong Yang
A uniform approach is introduced to study the existence of measure valued solutions to the homogeneous Boltzmann equation for both hard potential with finite energy, and soft poten…
A characterization of probability measure with finite moment and an application to the Boltzmann equation
Yong-Kum Cho, Yoshinori Morimoto, Shuaikun Wang +1
We characterize probability measure with finite moment of any order in terms of the symmetric difference operators of their Fourier transforms. By using our new characterization, w…
Global solutions in the critical Besov space for the non cutoff Boltzmann equation
Yoshinori Morimoto, Shota Sakamoto
The Boltzmann equation is studied without the cutoff assumption. Under a perturbative setting, a unique global solution of the Cauchy problem of the equation is established in a cr…
Moment classification of infinite energy solutions to the homogeneous Boltzmann equation
Yoshinori Morimoto, Shuaikun Wang, Tong Yang
In this paper, we will introduce a precise classification of characteristic functions in the Fourier space according to the moment constraint in the physical space of any order. Ba…