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math.AP2025
Well-posedness and global attractor for wave equation with displacement dependent damping and super-cubic nonlinearity
Cuncai Liu, Fengjuan Meng, Chang Zhang
This work investigates the semilinear wave equation featuring the displacement dependent term and nonlinearity . By developing refined space-time a priori…
math.AP2025
Long-term behavior for wave equation with nonlinear damping and super-cubic nonlinearity
Cuncai Liu, Fengjuan Meng, Chang Zhang
In this paper, we consider the semilinear wave equation involving the nonlinear damping term and nonlinearity . The well-posedness of the weak solution satisfying s…