Generalized Morrey regularity for parabolic equations with discontinuity data
Abstract
We obtain continuity in generalized parabolic Morrey spaces of sublinear integrals generated by the parabolic Calder\'on-Zygmund operators and its commutator with VMO functions. The obtained estimates are used to study global regularity of the solutions of the Cauchy-Dirichlet problem for linear uniformly parabolic equations with discontinuous coefficients.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.