On the maximal smoothing effect for multidimensional scalar conservation laws

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L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

It is known that entropy solutions must be considered if one wants to solve scalar conservation laws (Equation (1a) is replaced by a family of inequalities — see [8] for the

Once the existence of traces has been established we prove that any pair of weak entropy solutions of (1) satisfies a generalized Kato inequality with a reminder term concentrated

In sections 3 and 4, we give some applications to scalar conservation laws: a stability result, the best smoothing effect in the case of L ∞ data with a degenerate convex flux and

It is well-known that compactness arguments based on BV bounds for the existence of solutions for quasilinear hyperbolic conservation laws is limited to one-dimensional

The technique of boundary layer analysis developed in those articles is devoted to the investigation of the initial-boundary value problem for systems of conservation laws (and not

However, many missing proteins may be present at levels below detection limits or in under-studied cell types/tissues, expressed under particular conditions (e.g., stress/infection)