Wave Equations with Point Interactions in Finite Energy Space
Bertini, Massimo ; Noja, Diego ; Posilicano, Andrea
arXiv, 0010047 / Harvested from arXiv
Text on arXiv
Given the abstract wave equation $\ddot\phi-\Delta_\alpha\phi=0$, where $\Delta_\alpha$ is the Laplace operator with a point interaction of strength $\alpha$, we define and study $\bar W_\alpha$, the associated wave generator in the phase space of finite energy states. We prove the existence of the phase flow generated by $\bar W_\alpha$, and describe its most relevant properties with particular emphasis on the associated symplectic structure and scattering theory
Publié le : 2000-10-27
Classification:  Mathematical Physics,  Mathematics - Functional Analysis 
@article{0010047,
     author = {Bertini, Massimo and Noja, Diego and Posilicano, Andrea},
     title = {Wave Equations with Point Interactions in Finite Energy Space},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010047}
}

Bertini, Massimo; Noja, Diego; Posilicano, Andrea. Wave Equations with Point Interactions in Finite Energy Space. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010047/