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    STUDIA MATHEMATICA - Issue no. 2 / 2011  
         
  Article:   ON ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS.

Authors:  .
 
       
         
  Abstract:  

We consider stationary diffusion equations with random coefficients which cannot be bounded strictly away from zero and infinity by constants. We prove the existence of a unique solution to the corresponding weak formulation with different solution and test function spaces. Furthermore, the convergence of the Stochastic Galerkin solution is established under certain conditions.

Mathematics Subject Classification (2010): 35R60, 65N12, 65N30.

Keywords: Random partial differential equation, Stochastic Galerkin Methods, generalized polynomial chaos.

 
         
     
         
         
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