Let $C:\Bbb R^n\to\Bbb R^n$ a smooth vector field. Are there known conditions on its Jacobian that provide the existence of a potential function $W:\Bbb R^n\to\Bbb R$ such that $\nabla W = C$ ?
2026-05-17 06:05:18.1778997918
Condition for a vector field to admit a potential
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