Largest well-posed spaces for the general diffusion system with nonlocal interactions

Chao Deng, Chun Liu

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The authors derive a general diffusion (GD) system with nonlocal interactions of special structure via energetic variational approach and observe that there exist two critical values of s, i.e. s=12,1, for the nonlocal interactions, where s=12 reflects how strong nonlocal property we have and s=1 affects the linearization and choice of initial data spaces. The authors also establish the global existence and uniqueness of mild solution.

Original languageEnglish (US)
Pages (from-to)4030-4062
Number of pages33
JournalJournal of Functional Analysis
Volume272
Issue number10
DOIs
StatePublished - May 15 2017

All Science Journal Classification (ASJC) codes

  • Analysis

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