English

Parabolic equations with VMO coefficients in spaces with mixed norms

Analysis of PDEs 2007-05-23 v1

Abstract

An Lq(Lp)L_{q}(L_{p})-theory of divergence and non-divergence form parabolic equations is presented. The main coefficients are supposed to belong to the class VMOxVMO_{x}, which, in particular, contains all measurable functions depending only on tt. The method of proving simplifies the methods previously used in the case p=qp=q.

Keywords

Cite

@article{arxiv.math/0610955,
  title  = {Parabolic equations with VMO coefficients in spaces with mixed norms},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:math/0610955},
  year   = {2007}
}

Comments

36 pages

R2 v1 2026-07-22T17:45:22.089Z