Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces

Generalized solutions to the abstract Cauchy problem for a quasilinear equation with the generator of an integrated semigroup and with terms reflecting nonlinear perturbations and white noise type perturbations are under consideration. An abstract stochastic Colombeau algebra is constructed, and sol...

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Bibliographic Details
Main Authors: Irina V. Melnikova, Uljana A. Alekseeva
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/509026
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