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math.NA2023★ 5 cited
Bounded Poincaré operators for twisted and BGG complexes
Andreas Čap, Kaibo Hu
We construct bounded Poincaré operators for twisted complexes and BGG complexes with a wide class of function classes (e.g., Sobolev spaces) on bounded Lipschitz domains. These ope…
math.NA2022
BGG sequences with weak regularity and applications
Andreas Čap, Kaibo Hu
We investigate some Bernstein-Gelfand-Gelfand (BGG) complexes on bounded Lipschitz domains in consisting of Sobolev spaces. In particular, we compute the cohomology…