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math.CA2016
Remarks on the Rellich inequality
Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade
We study the Rellich inequalities in the framework of equalities. We present equalities which imply the Rellich inequalities by dropping remainders. This provides a simple and dire…
math.AP2016★ 2 cited
Remarks on the Hardy type inequalities with remainder terms in the framework of equalities
Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade
We study the Hardy type inequalities in the framework of equalities. We present equalities which immediately imply Hardy type inequalities by dropping the remainder term. Simultane…
math.AP2016★ 2 cited
Global well-posedness for one dimensional Chern-Simons-Dirac system in
Shuji Machihara, Takayoshi Ogawa
Time global wellposedness in L^p for the Chern-Simons-Dirac equation in 1+1 dimension is discussed.