title: Nonlinear stochastic equations with multiplicative Lévy noise.
abstract: The Langevin equation with a multiplicative Lévy white noise is solved. The noise amplitude and the drift coefficient have a power-law form. A validity of ordinary rules of the calculus for the Stratonovich interpretation is discussed. The solution has the algebraic asymptotic form and the variance may assume a finite value for the case of the Stratonovich interpretation. The problem of escaping from a potential well is analyzed numerically; predictions of different interpretations of the stochastic integral are compared.
authors.affiliation: Institute of Nuclear Physics, Polish Academy of Sciences, PL-31-342 Kraków, Poland.
authors.forename: Tomasz
authors.initials: T
authors.lastname: Srokowski