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math.AP2026
Regularity of soda-can domains for the -parabolic equation
Benny Avelin, Mikko Parviainen
We classify the regularity of the origin for the -parabolic equation in the soda-can domains $$Θ_{l,θ}=\{(x,t)\in\mathbb{R}^n\times\mathbb{R}:0 < -t < θ|x|^l < θ\},\text{ where…
math.AP2026
Coarse-grained ellipticity and De Giorgi-Nash-Moser theory
Scott Armstrong, Benny Avelin, Cristiana De Filippis +2
We prove local boundedness and a Harnack inequality for nonnegative weak solutions of the equation under a coarse-grained ellipticity assump…