Optimal Holder regularity for nonautonomous Kolmogorov equations

L. Lorenzi

Optimal Holder regularity for nonautonomous Kolmogorov equations

Analysis of PDEs 2009-11-10 v1

Authors: L. Lorenzi

Abstract

We consider a class of nonautonomous elliptic operators ${\mathscr A}$ with unbounded coefficients defined in $[0,T]\times\R^N$ and we prove optimal Schauder estimates for the solution to the parabolic Cauchy problem $D_tu={\mathscr A}u+f$ , $u(0,\cdot)=g$ .

Keywords

parabolic equations elliptic partial differential equations

Cite

@article{arxiv.0911.1548,
  title  = {Optimal Holder regularity for nonautonomous Kolmogorov equations},
  author = {L. Lorenzi},
  journal= {arXiv preprint arXiv:0911.1548},
  year   = {2009}
}

Comments

To appear on a special issue of DCDS-S

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