The results formulated in (I.V. Kuznetsov, Sib. Elect. Math. Rep. 14 (2017), 710-731) are extended onto the multi-time case. We prove existence and uniqueness of kinetic solutions to genuinely nonlinear forward-backward ultra-parabolic equations and show that kinetic solutions do not depend on the anisotropic elliptic regularization.
- Entropy solution
- Forward-backward ultra-parabolic equation
- Kinetic solution