New thresholds separate diffusion-wave and non-diffusive regimes for low-regularity solutions of the structurally damped wave equation u_tt - Δu + Δ²u_t = 0.
Ponce, Global existence of small solutions to a class of nonlinear e volution equations , Nonlinear Anal
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Thresholds for low regularity solutions to wave equations with structural damping
New thresholds separate diffusion-wave and non-diffusive regimes for low-regularity solutions of the structurally damped wave equation u_tt - Δu + Δ²u_t = 0.