L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

By Kenneth Hvistendahl Karlsen, Nils Henrik Risebro, John D. Towers. 2003

128 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d95e6359e6f2bd2aa1934187c48f616de9574f00

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1. Florence Bachmann
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Citations in the corpus

• Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients (2006, methodology): “These estimates are particularly difficult to obtain for approximate solutions to problem (1) (in fact, it is not possible to get such BV estimates on u : one proves G u BV ≤ C G being an accurate invertible function: a Temple function—also called “singular mapping”—(Bachmann, 2004; Towers, 2001).”