An isoperimetric inequality for level sets in fractional Sobolev spaces is proven and applied to obtain Hölder regularity in fractional De Giorgi classes.
Imbert,De Giorgi’s regularity theory for elliptic, parabolic and kinetic equations(2026), available at
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves backward uniqueness for a class of coupled ultraparabolic operators with constant drift via adapted Carleman estimates and applies the result to error equations in jerk control systems.
citing papers explorer
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A fractional De Giorgi isoperimetric type inequality
An isoperimetric inequality for level sets in fractional Sobolev spaces is proven and applied to obtain Hölder regularity in fractional De Giorgi classes.
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Backward Uniqueness for Coupled Ultraparabolic Operators and an Application to Jerk-Driven Control Models
Proves backward uniqueness for a class of coupled ultraparabolic operators with constant drift via adapted Carleman estimates and applies the result to error equations in jerk control systems.