The Stokes and Poisson problem in variable exponent spaces
classification
🧮 math.AP
keywords
exponentspacesvariableboundarypoissonproblemstokesagmon-douglis-nirenberg
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We study the Stokes and Poisson problem in the context of variable exponent spaces. We prove the existence of strong and weak solutions for bounded domains with C^{1,1} boundary with inhomogenous boundary values. The result is based on generalizations of the classical theories of Calderon-Zygmund and Agmon-Douglis-Nirenberg to variable exponent spaces.
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