The paper proves local-in-time existence and uniqueness of analytic solutions for small analytic initial data in a one-dimensional Vlasov–Dirac–Benney-type equation via contraction mapping.
Pfaffelmoser, Global classical solutions of the Vlas ov-Poisson system in three dimensions for general initial data, J
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Local analytic well-posedness for one-dimensional Vlasov$\unicode{x2013}$Dirac$\unicode{x2013}$Benney-type equations
The paper proves local-in-time existence and uniqueness of analytic solutions for small analytic initial data in a one-dimensional Vlasov–Dirac–Benney-type equation via contraction mapping.