# Recent Advances in Regularity of Second-order Hyperbolic Mixed Problems, and Applications

@inproceedings{Lasiecka1994RecentAI, title={Recent Advances in Regularity of Second-order Hyperbolic Mixed Problems, and Applications}, author={Irena Lasiecka and Roberto Triggiani}, year={1994} }

The present paper centers on second-order hyperbolic equations in the unknownw(t,x):
$${w_{tt}} + A(x,\partial )w = f{\text{ in }}\Omega =(0,T]x\Omega $$
(1.1)
augmented by initial conditions
$$w(0, \cdot ) = {w_0};{\text{ }}{w_t}(0, \cdot ) = {w_1}{\text{ in }}\Omega $$
(1.2)
and suitable boundary conditions either of Dirichlet type
$$w{|_\Sigma } = u{\text{ in }}\Sigma = (0,T]x\Gamma ,$$
(1.3D)
or else of Neumann type
$$\frac{{\partial w}}{{\partial {\nu _A…

## 48 Citations

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