The exact hot spots ratio is eta_d(0), extremizers do not exist, and it tends to sqrt(e) as d approaches infinity.
The hot spots problem in planar domains with one hole
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.SP 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Sharp bounds on the failure of the hot spots conjecture
The exact hot spots ratio is eta_d(0), extremizers do not exist, and it tends to sqrt(e) as d approaches infinity.