Low Complexity Solutions of the Allen–Cahn Equation on Three-spheres. Issue 2 (7th January 2019)
- Record Type:
- Journal Article
- Title:
- Low Complexity Solutions of the Allen–Cahn Equation on Three-spheres. Issue 2 (7th January 2019)
- Main Title:
- Low Complexity Solutions of the Allen–Cahn Equation on Three-spheres
- Authors:
- Haslhofer, Robert
Ivaki, Mohammad N. - Abstract:
- Abstract: In this short note, we prove that on the three-sphere with any bumpy metric there exist at least two pairs of solutions of the Allen–Cahn equation with spherical interface and index at most two. The proof combines several recent results from the literature.
- Is Part Of:
- Canadian mathematical bulletin =. Volume 62:Issue 2(2019)
- Journal:
- Canadian mathematical bulletin =
- Issue:
- Volume 62:Issue 2(2019)
- Issue Display:
- Volume 62, Issue 2 (2019)
- Year:
- 2019
- Volume:
- 62
- Issue:
- 2
- Issue Sort Value:
- 2019-0062-0002-0000
- Page Start:
- 287
- Page End:
- 291
- Publication Date:
- 2019-01-07
- Subjects:
- 49J35
Allen–Cahn equation, -- phase transition, -- small index
Mathematics -- Periodicals
Mathematics
Periodicals
510.5 - Journal URLs:
- http://www.cms.math.ca/cmb/ ↗
https://www.cambridge.org/core/journals/canadian-mathematical-bulletin ↗ - DOI:
- 10.4153/CMB-2018-033-4 ↗
- Languages:
- English
- ISSNs:
- 0008-4395
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 13005.xml