### Abstract

We study the wave equation on a bounded Lipschitz set, characterizing all homogeneous boundary conditions for which this partial differential equation generates a contraction semigroup in the energy space L2(Omega) . The proof uses boundary triplet techniques.

Original language | Undefined |
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Title of host publication | Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014) |

Place of Publication | Groningen |

Publisher | University of Groningen |

Pages | 1157-1160 |

Number of pages | 4 |

ISBN (Print) | 978-90-367-6321-9 |

Publication status | Published - 7 Jul 2014 |

Event | 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 - Groningen, Netherlands Duration: 7 Jul 2014 → 11 Jul 2014 Conference number: 21 |

### Publication series

Name | |
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Publisher | University of Groningen |

ISSN (Print) | 2311-8903 |

### Conference

Conference | 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 |
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Abbreviated title | MTNS |

Country | Netherlands |

City | Groningen |

Period | 7/07/14 → 11/07/14 |

### Keywords

- MSC-93C20
- MSC-35L05
- EWI-25780
- MSC-5F15
- METIS-309919
- Port-Hamiltonian system
- IR-94614
- Boundary triplet
- contraction semi-group

## Cite this

Zwart, H. J., & Kurula, M. (2014). The linear wave equation on N-dimensional spatial domains. In

*Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014)*(pp. 1157-1160). Groningen: University of Groningen.