Geodesic
Genuinely nonlinear forward-backward ultra-parabolic equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 710-731

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In this paper we have proved the existence and uniqueness of entropy solutions to the Dirichlet problem for genuinely nonlinear forward-backward ultra-parabolic equations. We have used a kinetic formulation of entropy solutions which enables also to prove the existence of their traces in the $L^1$ sense.
Keywords: entropy solution, forward-backward ultra-parabolic equation, kinetic formulation. 
@article{SEMR_2017_14_a92,
     author = {I. V. Kuznetsov},
     title = {Genuinely nonlinear forward-backward ultra-parabolic equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {710--731},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a92/}
}
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I. V. Kuznetsov. Genuinely nonlinear forward-backward ultra-parabolic equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 710-731. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a92/