For odd, homogeneous, order-delta multipliers with -1 <= delta <= 0, there exist non-trivial weak solutions failing to conserve the Hamiltonian at every regularity Lambda^{-1}theta in C^gamma with gamma < 1 + 2delta/3, matching the rigid bound.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AP 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
An Onsager-type Theorem for General 2D Active Scalar Equations
For odd, homogeneous, order-delta multipliers with -1 <= delta <= 0, there exist non-trivial weak solutions failing to conserve the Hamiltonian at every regularity Lambda^{-1}theta in C^gamma with gamma < 1 + 2delta/3, matching the rigid bound.