Title | The wave equation on domains with cracks growing on a prescribed path: existence, uniqueness, and continuous dependence on the data |

Publication Type | Preprint |

2015 | |

Authors | Dal Maso, G, Lucardesi, I |

Document Number | SISSA;47/2015/MATE |

Given a bounded open set $\Omega \subset \mathbb R^d$ with Lipschitz boundary and an increasing family $\Gamma_t$, $t\in [0,T]$, of closed subsets of $\Omega$, we analyze the scalar wave equation $\ddot{u} - div (A \nabla u) = f$ in the time varying cracked domains $\Omega\setminus\Gamma_t$. Here we assume that the sets $\Gamma_t$ are contained into a prescribed $(d-1)$-manifold of class $C^2$. | |

http://urania.sissa.it/xmlui/handle/1963/34629 |