Well-posedness and blow-up of Virial type for some fractional inhomogeneous Choquard equations. Issue 8 (24th May 2022)
- Record Type:
- Journal Article
- Title:
- Well-posedness and blow-up of Virial type for some fractional inhomogeneous Choquard equations. Issue 8 (24th May 2022)
- Main Title:
- Well-posedness and blow-up of Virial type for some fractional inhomogeneous Choquard equations
- Authors:
- Chergui, L.
- Abstract:
- ABSTRACT: In the subcritical energy case, local well-posedness is established in the radial energy space for a class of fractional inhomogeneous Choquard equations. The best constant of a Gagliardo–Nirenberg type inequality is obtained. Moreover, a sharp threshold of global existence versus blow-up dichotomy is obtained for mass super-critical and energy subcritical solutions.
- Is Part Of:
- Applicable analysis. Volume 101:Issue 8(2022)
- Journal:
- Applicable analysis
- Issue:
- Volume 101:Issue 8(2022)
- Issue Display:
- Volume 101, Issue 8 (2022)
- Year:
- 2022
- Volume:
- 101
- Issue:
- 8
- Issue Sort Value:
- 2022-0101-0008-0000
- Page Start:
- 2966
- Page End:
- 2995
- Publication Date:
- 2022-05-24
- Subjects:
- Choquard equation -- ground state -- Gagliardo–Nirenberg inequality -- virial identity -- blow-up
35Q55
Mathematical analysis -- Periodicals
515 - Journal URLs:
- http://www.tandfonline.com/toc/gapa20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00036811.2020.1834085 ↗
- Languages:
- English
- ISSNs:
- 0003-6811
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 1570.450000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 21736.xml