1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2024
On the Hardy-Hénon heat equation with an inverse square potential
Divyang G. Bhimani, Saikatul Haque, Masahiro Ikeda
We study Cauchy problem for the Hardy-Hénon parabolic equation with an inverse square potential, namely, \[\partial_tu -Δu+a|x|^{-2} u= |x|^γ F_α(u),\] where $a\ge-(\frac{d-2}{2})^…
math.AP2024★ 1 cited
Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces and their applications
Masahiro Ikeda, Megumi Sano, Koichi Taniguchi
We study boundedness, optimality and attainability of Trudinger-Moser type maximization problems in the radial and the subcritical homogeneous Sobolev spaces $\dot{W}^{1,p}_{0, \te…
math.AP2024
Upper estimates of the lifespan for the fractional wave equations with time-dependent damping and a power nonlinearity of subcritical and critical Fujita exponent
Jiayun Lin, Masahiro Ikeda
In this paper, we study the Cauchy problem of the fractional wave equation with time-dependent damping and the source nonlinearity : $$ \begin{cases} \partial_t^…