Abstract
This note presents a novel Hilbert space approach based on the Green-Stokes formula to some continuous transport flow problems in n-dimensional domains. Firstly an analogue of Hoffman’s feasibility theorem is given in this setting. Then well-posedness and duality results for related nonlinear flow optimization problems are proved.
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Gwinner, J. (1995). A Hilbert Space Approach to Some Flow Problems. In: Durier, R., Michelot, C. (eds) Recent Developments in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 429. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46823-0_14
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DOI: https://doi.org/10.1007/978-3-642-46823-0_14
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