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- W2593233659 abstract "We consider a class of doubly nonlinear constrained evolution equations which may be viewed as a nonlinear extension of the growing sandpile model of [L. Prigozhin, Eur. J. Appl. Math. 7 (1996) 225–235.]. We prove existence of weak solutions for quite irregular sources by a semi-implicit scheme in the spirit of the seminal works of [R. Jordan et al., SIAM J. Math. Anal. 29 (1998) 1–17, D. Kinderlehrer and N.J. Walkington, Math. Model. Numer. Anal. 33 (1999) 837–852.] but with the 1-Wasserstein distance instead of the quadratic one. We also prove an L 1 -contraction result when the source is L 1 and deduce uniqueness and stability in this case." @default.
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- W2593233659 date "2018-10-01" @default.
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- W2593233659 title "On the minimizing movement with the 1-Wasserstein distance" @default.
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- W2593233659 doi "https://doi.org/10.1051/cocv/2017055" @default.
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