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  • 35Q30  (1)
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    Electronic Resource
    Electronic Resource
    Weak solutions of the Stokes problem in weighted Sobolev spaces (1994)
    Springer
    Acta applicandae mathematicae 37 (1994), S. 195-203 
    Details
    ISSN: 1572-9036
    Keywords: 35Q30 ; Stokes equation ; weighted Sobolev spaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For n⩾2 we consider the Stokes problem in ℝn, -δu + ▽p=f, -divu=g, in weighted Soboiev spaces H 6 m,r , where the weights are proportional to (1+|x|)δ. We prove the existence of weak solutions for any δ∈ℝ∖K, whereK is a discrete set of critical values. Furthermore, we characterize the solutions of the homogeneous problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00995141
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