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math.OC2025
Feedback approximate controllability of blowup points for the heat equation with anti-interference blowup profile
Ping Lin, Hatem Zaag
This paper is concerned with a feedback approximate controllability problem of blowup points for the heat equation. We show that the system is approximately controllable for blowup…
math.AP2025
Scalar behavior for a complex multi-soliton arising in blow-up for a semilinear wave equation
Asma Azaiez, Jacek Jendrej, Hatem Zaag
This paper deals with blow-up for the complex-valued semilinear wave equation with power nonlinearity in dimension 1. Up to a rotation of the solution in the complex plane, we show…