 00423 Massimo Bertini, Diego Noja, Andrea Posilicano
 WAVE EQUATIONS WITH POINT INTERACTIONS IN FINITE ENERGY SPACES
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Oct 27, 00

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Abstract. 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.
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