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Mollification of D-solutions to Fully Nonlinear PDE Systems
[article]
2015
arXiv
pre-print
In a recent paper (arXiv:1501.06164) the author has introduced a new theory of generalised solutions which applies to fully nonlinear PDE systems of any order and allows the interpretation of merely measurable maps as solutions. This approach is duality-free and builds on the probabilistic representation of limits of difference quotients via Young measures over certain compactifications of the "state space". Herein we establish a systematic regularisation scheme of this notion of solution
arXiv:1508.05519v1
fatcat:ulpkltqzzvfo3lmhvdevjdyi3q