papers
Publications (9)
math.AP2016
Global well-posedness for one dimensional Chern-Simons-Dirac system in $L^p$
Shuji Machihara, Takayoshi Ogawa
math.AP2019
Blowup solutions for the nonlinear Schrödinger equation with complex coefficient
Shota Kawakami, Shuji Machihara
math.AP2018
Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension
Shuji Machihara, Mamoru Okamoto
math.AP2016
Remarks on the Hardy type inequalities with remainder terms in the framework of equalities
Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade
math.CA2016
Remarks on the Rellich inequality
Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade
math.FA2019
A supersolutions perspective on hypercontractivity
Yosuke Aoki, Jonathan Bennett, Neal Bez +3
math.CA2014
Extremisers for the trace theorem on the sphere
Neal Bez, Shuji Machihara, Mitsuru Sugimoto
math.AP2011
Local and global well-posedness for the Chern-Simons-Dirac system in one dimension
Nikolaos Bournaveas, Timothy Candy, Shuji Machihara
math.AP2013
A note on the Chern-Simons-Dirac equations in the Coulomb Gauge
Nikolaos Bournaveas, Timothy Candy, Shuji Machihara