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math.AP2025
Existence of solutions to the semilinear damped wave equation with non- slowly decaying data : polynomial nonlinearity case
Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi
We study the Cauchy problem of the semilinear damped wave equation with polynomial nonlinearity, and establish the local and global existence of the solution for slowly decaying in…
math.AP2025
Dynamics of dissipative solutions to the Hardy-Sobolev parabolic equation
Masahiro Ikeda, César J. Niche, Gabriela Planas
We study the long-time behaviour of solutions to the Hardy-Sobolev parabolic equation in critical function spaces for any spatial dimension . By employing the Fourier spl…