DIRICHLET PROBLEM WITH STOCHASTIC COEFFICIENTS
2005 ◽
Vol 05
(04)
◽
pp. 555-568
◽
Keyword(s):
We consider general second-order linear elliptic partial differential equations having random coefficients and random data and fulfilling the homogeneous Dirichlet condition. We prove the existence and uniqueness of the weak solution in a certain tensor product space which is suitably completed to make it a Hilbert space. The factors of this space are a Sobolev space of functions depending on the space variable and a general Sobolev space of functions depending on the stochastic variable.
2018 ◽
Vol 52
(3)
◽
pp. 869-891
Keyword(s):
2019 ◽
Vol 27
(3)
◽
pp. 177-194
Keyword(s):
2010 ◽
Vol 363
(1)
◽
pp. 111-120
Keyword(s):