Geodesic
Boundary value problems for fourth-order Sobolev type equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 425-432

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The goal of the article is the study of solvability in the Sobolev spaces of boundary value problems for some classes of Sobolev-type fourth-order linear equations. We will prove that an initial boundary value problems well problems with data both at the initial time moment and the final time moments can be well-posed for the equations under study.
Keywords: Sobolev-type fourth-order differential equation, boundary value problem, uniqueness.
Mots-clés : existence 
@article{JSFU_2021_14_4_a3,
     author = {Alexander I. Kozhanov},
     title = {Boundary value problems for fourth-order {Sobolev} type equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {425--432},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a3/}
}
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Alexander I. Kozhanov. Boundary value problems for fourth-order Sobolev type equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 425-432. http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a3/