Parabolic and elliptic equations with VMO coefficients

N. V. Krylov

Parabolic and elliptic equations with VMO coefficients

偏微分方程分析 2007-05-23 v1

作者: N. V. Krylov

摘要

An $L_{p}$ -theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class $VMO_{x}$ , which, in particular, contains all functions independent of $x$ . Weak uniqueness of the martingale problem associated with such equations is obtained.

关键词

parabolic partial differential equations elliptic partial differential equations partial differential equations

引用

@article{arxiv.math/0511731,
  title  = {Parabolic and elliptic equations with VMO coefficients},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:math/0511731},
  year   = {2007}
}

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