Journal
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Volume 58, Issue 3, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00526-019-1536-x
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Funding
- ERC grant Regularity and Stability in Partial Differential Equations (RSPDE)
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We collect some examples of optimal transports for quadratic cost in order to explore the stability of the identity map as an optimal transport. First, we consider density and domain perturbations near regular portions of domains. Second, we investigate density and domains deformations to non-regular parts of domains. Here, we restrict our attention to two dimensions and focus near 90 corners.
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