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math.CA2025
Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer
Mashkoor Ali, Philippe Laurençot
Global existence of mild solutions to the discrete collisional breakage equations is established for a broad class of collision kernels, without imposing any growth assumptions. In…
math.AP2025
A parabolic Hardy-Hénon equation with quasilinear degenerate diffusion
Razvan Gabriel Iagar, Philippe Laurençot
Local and global well-posedness, along with finite time blow-up, are investigated for the following Hardy-Hénon equation involving a quasilinear degenerate diffusion and a space-de…