Geodesic
A priori estimate of the solution of a boundary problem with the condition of Samara for the generalized third-order equation with multiple characteristics
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2018), pp. 208-212

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The boundary value problems for the third-order equation of parabolic type with fractional derivative of Caputo are considered. The uniqueness and existence of a generalized solution of the boundary value problem with a non-local Samara condition for the equation with multiple characteristics with a spectral parameter is proved by the method of energy inequalities.
Mots-clés : a priori estimation, Samara condition
Keywords: boundary value problem, fractional derivative, Caputo derivative, equations with multiple characteristics, energy integrals method, uniqueness of the solution. 
@article{VKAM_2018_4_a20,
     author = {A. M. Shkhagapsoev},
     title = {A priori estimate of the solution of a boundary problem with the condition of {Samara} for the generalized third-order equation with multiple characteristics},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {208--212},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2018_4_a20/}
}
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A. M. Shkhagapsoev. A priori estimate of the solution of a boundary problem with the condition of Samara for the generalized third-order equation with multiple characteristics. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2018), pp. 208-212. http://geodesic.mathdoc.fr/item/VKAM_2018_4_a20/