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math.AP2019★ 5 cited
A remark on norm inflation for nonlinear wave equations
Justin Forlano, Mamoru Okamoto
In this note, we study the ill-posedness of nonlinear wave equations (NLW). Namely, we show that NLW experiences norm inflation at every initial data in negative Sobolev spaces. Th…
math.AP2019
Almost sure global well posedness for the BBM equation with infinite initial data
Justin Forlano
We consider the probabilistic Cauchy problem for the Benjamin-Bona-Mahony equation (BBM) on the one-dimensional torus with initial data below . With…