Abstract
We show that each connected component of the boundary of a parabolic NTA domain in ℝ2 is given by a graph. We then apply this observation to classify blowup solutions in ℝ2 to a free boundary problem for caloric measure first considered by Hofmann, Lewis and Nyström [16].
Original language | English (US) |
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Pages (from-to) | 1524-1536 |
Number of pages | 13 |
Journal | Communications in Partial Differential Equations |
Volume | 42 |
Issue number | 10 |
DOIs | |
State | Published - Oct 3 2017 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2017 Taylor & Francis.
Keywords
- Caloric measure
- NTA domains
- free boundary problem
- parabolic PDE