Second order elliptic partial differential equations driven by Lévy white noise
Open Access
- 22 June 2021
- journal article
- research article
- Published by VTeX in Modern Stochastics: Theory and Applications
- Vol. 8 (2), 1-29
- https://doi.org/10.15559/21-vmsta181
Abstract
This paper deals with linear stochastic partial differential equations with variable coefficients driven by Levy white noise. First, an existence theorem for integral transforms of Levy white noise is derived and the existence of generalized and mild solutions of second order elliptic partial differential equations is proved. Further, the generalized electric Schrodinger operator for different potential functions V is discussed.Keywords
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