Global in Time Madelung Transformation for Kolmogorov-Feller Pseudodifferential Equations
Abstract
Using an idea going back to Madelung we construct global in time solutions to the transport equation corresponding to the asymptotic solution of the Kolmogorov-Feller equation describing a system with diffusion, potential and jump terms. To do that we use the construction of a generalized delta -shock solution of the continuity equation for a discontinuous velocity field. We also discuss corresponding problem of asymptotic solution construction (Maslov tunnel asymptotics).
- Publication:
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arXiv e-prints
- Pub Date:
- April 2009
- DOI:
- 10.48550/arXiv.0904.1945
- arXiv:
- arXiv:0904.1945
- Bibcode:
- 2009arXiv0904.1945A
- Keywords:
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- Mathematical Physics
- E-Print:
- Latex, 21p