On two-dimensional Hamiltonian transport equations with \(\mathbb L^p_{\text{loc}}\) coefficients. (English) Zbl 1028.35148

Hauray, M.

Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 4, 625-644 (2003).

F. Bouchut and L. Desvillettes [Differ. Integral Equ. 14, 1015-1024 (2001; Zbl 1028.35042)] analysed the Hamiltonian transport equation with continuous coefficient. Their consideration based on the fact that the equivalent ordinary differential equation may be solved. Here this method is generalized for less regularity of the coefficients.

Reviewer: Igor Andrianov (Köln)

MSC:

35R05	PDEs with low regular coefficients and/or low regular data
82C70	Transport processes in time-dependent statistical mechanics
35F10	Initial value problems for linear first-order PDEs

Keywords:

existence; uniqueness; Hamiltonian transport equation

Citations:

Zbl 1028.35042

References:

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