Authors prove Caccioppoli inequalities, local boundedness, Hölder continuity, weak Harnack inequalities, and expansion of positivity for weak solutions of mixed fractional superposition operators.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
New weighted L^∞ a priori bound for inhomogeneous Landau and Boltzmann equations yields a hydrodynamic-independent continuation criterion and obstructs lifting of 3D Euler singularities.
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Regularity of superposition operators of mixed fractional order
Authors prove Caccioppoli inequalities, local boundedness, Hölder continuity, weak Harnack inequalities, and expansion of positivity for weak solutions of mixed fractional superposition operators.
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Pointwise bounds and obstructions to blowup for the Landau and Boltzmann equations
New weighted L^∞ a priori bound for inhomogeneous Landau and Boltzmann equations yields a hydrodynamic-independent continuation criterion and obstructs lifting of 3D Euler singularities.