6533b7d0fe1ef96bd125b79f
RESEARCH PRODUCT
Finite propagation speed for solutions of the wave equation on metric graphs
Robert SchraderJürgen PotthoffVadim Kostrykinsubject
Finite propagation speedClass (set theory)Property (philosophy)Laplace transformMathematical analysisFOS: Physical sciencesMathematical Physics (math-ph)Wave equation34B45 35L05 35L20530Laplace operatorsMetric (mathematics)Energy methodWave equationMetric graphsMathematical PhysicsAnalysisMathematicsdescription
We provide a class of self-adjoint Laplace operators on metric graphs with the property that the solutions of the associated wave equation satisfy the finite propagation speed property. The proof uses energy methods, which are adaptions of corresponding methods for smooth manifolds.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-09-01 |