Geodesic
On ellipticity of operators with shear mappings
Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 4, pp. 565-577

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The nonlocal boundary value problems are considered, in which the main operator and the operators in the boundary conditions include the differential operators and twisting operators. The definition of the trajectory symbols for this class of problems is given. We show that the elliptic problems define the Fredholm operators in the corresponding Sobolev spaces. The ellipticity condition of such nonlocal boundary value problem is given.
Keywords: ellipticity, twisting operator, Fredholm operator, trajectory symbol, nonlocal boundary-value problem. 
@article{CMFD_2023_69_4_a0,
     author = {A. V. Boltachev},
     title = {On ellipticity of operators with shear mappings},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {565--577},
     publisher = {mathdoc},
     volume = {69},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2023_69_4_a0/}
}
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A. V. Boltachev. On ellipticity of operators with shear mappings. Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 4, pp. 565-577. http://geodesic.mathdoc.fr/item/CMFD_2023_69_4_a0/