Uniqueness and continuity of solution for the initial data in the scaling invariant class of the degenerate Keller-Segel system

Yoshie Sugiyama, Yumi Yahagi

研究成果: Contribution to journalArticle査読

6 被引用数 (Scopus)

抄録

We consider the degenerate Keller-Segel system (KS)m below. We find the functional space LS (0, T; Lp(ℝ)N)) with some p,s for the uniqueness and continuity of weak solutions with respect to the initial data. Our space is discussed from a viewpoint of the scaling invariant class associated with (KS)m for γ = 0. The technique is based on the L1-contraction principle for the porous medium equation.

本文言語英語
ページ(範囲)319-337
ページ数19
ジャーナルJournal of Evolution Equations
11
2
DOI
出版ステータス出版済み - 6 2011

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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