Geodesic
A boundary value problem for a 3rd order equation with a changing direction of evolution
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 2003-2012

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We examine a boundary value problem for a 3rd order equation with a changing direction of evolution. Under certain conditions, the existence of regular solutions in a suitable weighted Sobolev space is proven by regularization. The uniqueness of a generalized solution is also established as a consequence.
Keywords: mixed type equations, equations with a changing direction of evolution. 
@article{SEMR_2019_16_a108,
     author = {A. N. Artyushin},
     title = {A boundary value problem for a 3rd order equation with a changing direction of evolution},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {2003--2012},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a108/}
}
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A. N. Artyushin. A boundary value problem for a 3rd order equation with a changing direction of evolution. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 2003-2012. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a108/