Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces
2012 ◽
Vol 2012
◽
pp. 1-11
Keyword(s):
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 solutions in the algebra are studied.
2020 ◽
Vol 23
(4)
◽
pp. 1125-1140
2005 ◽
Vol 307
(2)
◽
pp. 656-676
◽
2011 ◽
Vol 14
(02)
◽
pp. 237-260
◽
1977 ◽
Vol 41
(2)
◽
pp. 236-241