2 papers
math.AP2026
Unified transform method for nonautonomous linear evolution equations: rigorous analysis and qualitative theory
Andreas Chatziafratis, Spyridon Kamvissis, Alain Miranville +1
Established herein is the rigorous extension of the celebrated Fokas unified transform method for linear evolution PDE with time-dependent coefficients. As illustrative examples, c…
math.AP2024
Asymptotic behavior of global solutions to the complex Ginzburg--Landau type equation in the super Fujita-critical case
Ryunosuke Kusaba, Tohru Ozawa
We present weighted estimates and higher order asymptotic expansions of global solutions to the complex Ginzburg--Landau (CGL) type equation in the super Fujita-critical case. Our…