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math.AP2021
Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces
Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi
The Cauchy problem for the Hardy-Hénon parabolic equation is studied in the critical and subcritical regime in weighted Lebesgue spaces on the Euclidean space . Well-…
math.AP2018★ 30 cited
Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces
Noboru Chikami, Takayuki Kobayashi
We consider the compressible Navier-Stokes-Korteweg system describing the dynamics of a liquid-vapor mixture with diffuse interphase. The global solutions are established under lin…