Geodesic
Trace continuation in infinite-order Sobolev space on a multidimensional strip region
Matematičeskie zametki, Tome 62 (1997) no. 6, pp. 820-830

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In the Sobolev infinite-order space on a multidimensional strip region we obtain conditions for the existence of a function that, together with all its derivatives, assumes prescribed values on the boundary. An example shows that the sufficient conditions for the trace continuation obtained in the present paper have a significant advantage over those obtained earlier. Furthermore, for spaces of some special type our conditions for trace continuation are both sufficient and necessary. 
@article{MZM_1997_62_6_a2,
     author = {G. S. Balashova},
     title = {Trace continuation in infinite-order {Sobolev} space on a multidimensional strip region},
     journal = {Matemati\v{c}eskie zametki},
     pages = {820--830},
     publisher = {mathdoc},
     volume = {62},
     number = {6},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_62_6_a2/}
}
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G. S. Balashova. Trace continuation in infinite-order Sobolev space on a multidimensional strip region. Matematičeskie zametki, Tome 62 (1997) no. 6, pp. 820-830. http://geodesic.mathdoc.fr/item/MZM_1997_62_6_a2/