Failure of the chain rule for the divergence of bounded vector fields

DOI10.2422/2036-2145.201506_006zbMath1400.35069arXiv1412.2476OpenAlexW2963529878MaRDI QIDQ4603989

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Publication date: 23 February 2018

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2476

zbMATH Keywords

counterexamplethree space dimensionsconvex integration approachrenormalization defects

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Linear first-order PDEs (35F05) Calculus of vector functions (26B12) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Representation and superposition of functions (26B40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Renormalization of active scalar equations ⋮ On the failure of the chain rule for the divergence of Sobolev vector fields ⋮ Onsager-type conjecture and renormalized solutions for the relativistic Vlasov–Maxwell system

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