| Abstract: |
| In this talk, we discuss $L^p-L^q$ estimates, with $1\leq p\leq q\leq\infty$, for dissipative wave-type equations, under the assumption that the dissipation dampens the oscillations but it does not cancel them. We employ methods based on Fourier analysis, including the use of real Hardy space $H^1(\mathbb{R}^n)$ and stationary phase arguments to take into account of the dispersive nature of the equation. |
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