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Results tagged with wave-equation
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user 478900
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Estimate $\Vert \Delta u(t)\Vert_{2}$ in term of energy
We consider the wave equation
$$\left\{
\begin{array}{ll}
u_{tt}(x,t)-\Delta u(x,t)=0, x \in \Omega, t>0\\
u=0, \quad u \in \partial \Omega, t>0 \\
u(0,x)=u_{0}(x), \quad u_{t}(0,x)=u_{1}(x), x \in \O …
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