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math.AP2024
Stabilization of linear waves with inhomogeneous Neumann boundary conditions
Türker Özsarı, İdem Susuzlu
We study linear damped and viscoelastic wave equations evolving on a bounded domain. For both models, we assume that waves are subject to an inhomogeneous Neumann boundary conditio…
math.AP2024
Low-Regularity Solutions of the Nonlinear Schrödinger Equation on the Spatial Quarter-Plane
Dionyssios Mantzavinos, Türker Ozsarı
The Hadamard well-posedness of the nonlinear Schrödinger equation with power nonlinearity formulated on the spatial quarter-plane is established in a low-regularity setting with So…