KOPS - The Institutional Repository of the University of Konstanz

Inhomogeneous symbols, the Newton polygon, and maximal L<sup>p</sup>-regularity

Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

DENK, Robert, Jürgen SAAL, Jörg SEILER, 2008. Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity. In: Russian Journal of Mathematical Physics. Springer. 15(2), pp. 171-191. ISSN 1061-9208. eISSN 1555-6638. Available under: doi: 10.1134/S1061920808020040

@article{Denk2008Inhom-524.2, title={Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity}, year={2008}, doi={10.1134/S1061920808020040}, number={2}, volume={15}, issn={1061-9208}, journal={Russian Journal of Mathematical Physics}, pages={171--191}, author={Denk, Robert and Saal, Jürgen and Seiler, Jörg} }

We prove a maximal regularity result for operators corresponding to rotation invariant symbols (in space) which are inhomogeneous in space and time. Symbols of this type frequently arise in the treatment of half-space models for (free) boundary-value problems. The result is obtained by extending the Newton polygon approach to variables living in complex sectors and combining it with abstract results on the H∞-calculus and R-bounded operator families. As an application, we derive maximal regularity for the linearized Stefan problem with Gibbs-Thomson correction. Seiler, Jörg terms-of-use Denk, Robert eng Saal, Jürgen 2022-09-15T12:24:58Z 2022-09-15T12:24:58Z Saal, Jürgen Seiler, Jörg Inhomogeneous symbols, the Newton polygon, and maximal L<sup>p</sup>-regularity Denk, Robert 2008

This item appears in the following Collection(s)

Version History

Version Item Date Summary Publication Version

*Selected version

Search KOPS


Browse

My Account