| Título: | An Extended Generator and Schrödinger Equations |
| Autores: | Getoor, Ronald K.; University of California, San Diego |
| Fecha: | 1999-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics Markov processes, Schrödinger equations, generators, smooth measures Primary 60J40; Secondary 60J25, 60J45, 60J35 |
| Descripción: | The generator of a Borel right processis extended so that it maps functions to smooth measures. This extension may be defined either probabilistically using martingales or analytically in terms of certain kernels on the state space of the process. Then the associated Schrödinger equation with a (signed) measure serving as potential may be interpreted as an equation between measures. In this context general existence and uniqueness theorems for solutions are established. These are then specialized to obtain more concrete results in special situations. |
| Idioma: | Inglés |
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