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math.AP2023★ 5 cited
Low regularity solutions to the logarithmic Schrodinger equation
Rémi Carles, Masayuki Hayashi, Tohru Ozawa
We consider the logarithmic Schr{ö}dinger equation, in various geometric settings. We show that the flow map can be uniquely extended from H^1 to L^2 , and that this extension is L…
math.AP2023★ 6 cited
The Cauchy problem for the logarithmic Schrödinger equation revisited
Masayuki Hayashi, Tohru Ozawa
We revisit the Cauchy problem for the logarithmic Schrödinger equation and construct strong solutions in , the energy space, and the -energy space. The solutions are prov…