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math.AP2025
Unconditional uniqueness of Hardy--Hénon parabolic equations on Herz spaces
Naoya Hatano, Masahiro Ikeda
In this paper, we introduce the unconditional uniqueness of solutions in Herz spaces for the Hardy--Hénon parabolic equation, which is a semilinear heat equation with a power-type…
math.AP2025
Stability of standing waves for all frequencies to nonlinear Schrödinger equations with potentials in one dimension
Noriyoshi Fukaya, Masahiro Ikeda, Hiroaki Kikuchi
In this paper, we study the orbital stability of standing waves for one-dimensional nonlinear Schrödinger equations with potentials. We show that the standing waves are orbitally s…