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Existence and uniqueness of solutions to Liouville equation

Published 30 Jan 2025 in math.AP, math-ph, and math.MP | (2501.18234v1)

Abstract: We prove some general results on the existence and uniqueness of solutions to the Liouville equation. Then, we discuss the sharpness and possible generalizations. Finally, we give several applications, arising in both mathematics and physics.

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