Geodesic
Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1158-1173

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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.
Keywords: forward-backward ultra-parabolic equation, entropy solution, kinetic solution. 
@article{SEMR_2018_15_a100,
     author = {I. V. Kuznetsov and S. A. Sazhenkov},
     title = {Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1158--1173},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a100/}
}
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I. V. Kuznetsov; S. A. Sazhenkov. Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1158-1173. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a100/