2 papers
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…
math.AP2024
Global dynamics for the energy-critical nonlinear heat equation
Masahiro Ikeda, César J. Niche, Gabriela Planas
We examine the energy-critical nonlinear heat equation in critical spaces for any dimension greater or equal than three. The aim of this paper is two-fold. First, we establish a ne…