Existence and uniqueness of solutions to Liouville equation
Alireza Ataei
TL;DR
This paper establishes fundamental results on the existence and uniqueness of solutions to the Liouville equation, exploring their sharpness, generalizations, and applications in mathematics and physics.
Contribution
It provides new theoretical results on solution existence and uniqueness, along with discussions on sharpness, generalizations, and practical applications.
Findings
Proved existence and uniqueness theorems for Liouville equation
Analyzed the sharpness and potential generalizations of these results
Presented applications in mathematics and physics
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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Taxonomy
Topicsadvanced mathematical theories · Spectral Theory in Mathematical Physics