Exponential growth for the wave equation with compact time-periodic positive potential

Energy decay estimates for the dissipati

Energy decay estimates for the dissipative wave equation with space–time dependent potential

✍ Jessica S. Kenigson; Jonathan J. Kenigson 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 209 KB

We study the asymptotic behavior of solutions of dissipative wave equations with space-time-dependent potential. When the potential is only time-dependent, Fourier analysis is a useful tool to derive sharp decay estimates for solutions. When the potential is only space-dependent, a powerful techniqu