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- W2025734701 abstract "The PDE ∇ u = uV can be treated as its ODE equivalent u ′ = a u if the vector field V satisfies the integrability condition curl V = 0. In this case there exist solutions v of the equation ∇ v = V and solutions of the original equation have the form u = ce v ( c ∈ C ). However, in devising meaningful solution concepts, the equation displays some surprising features related to local and global integrability of its solutions. In the course of the investigation technical tools like a lifting theorem with respect to the exponential map and Poincaré type theorems are proved for distributions and functions of Beppo Levi type." @default.
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- W2025734701 date "2001-02-01" @default.
- W2025734701 modified "2023-09-29" @default.
- W2025734701 title "On the Equation ∇u=uV" @default.
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- W2025734701 doi "https://doi.org/10.1006/jmaa.2000.7210" @default.
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