Geodesic
Traces of functions from Sobolev spaces of infinite order and inhomogeneous problems for nonlinear equations
Sbornik. Mathematics, Tome 34 (1978) no. 5, pp. 627-644

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The paper is devoted to the theory of “traces” in the spaces $$ W^\infty\{a_\alpha,p_\alpha\}(G)=\biggl\{u(x)\in C^\infty(G):\quad\sum_{|\alpha|=0}^{\infty}a_\alpha\|D^\alpha u\|_{p_\alpha}^{p_\alpha}\infty\biggr\} $$ and to the inhomogeneous Dirichlet problem for elliptic equations of infinite order. A trace criterion is established, simple sufficient trace conditions are adduced, and the correctness of the indicated Dirichlet problem is proved on the basis of the results obtained. Bibliography: 6 titles. 
@article{SM_1978_34_5_a3,
     author = {Yu. A. Dubinskii},
     title = {Traces of functions from {Sobolev} spaces of infinite order and inhomogeneous problems for nonlinear equations},
     journal = {Sbornik. Mathematics},
     pages = {627--644},
     publisher = {mathdoc},
     volume = {34},
     number = {5},
     year = {1978},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1978_34_5_a3/}
}
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Yu. A. Dubinskii. Traces of functions from Sobolev spaces of infinite order and inhomogeneous problems for nonlinear equations. Sbornik. Mathematics, Tome 34 (1978) no. 5, pp. 627-644. http://geodesic.mathdoc.fr/item/SM_1978_34_5_a3/