Trace theorem in a class of anisotropic Sobolev spaces
Shizuta, Yasushi ; Tanaka, Yumi
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 27-30 / Harvested from Project Euclid
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In this paper, a trace theorem and several lemmas for a class of anisotropic Sobolev spaces are given. These results are used to study the initial boundary value problem for symmetric hyperbolic systems with characteristic boundary of constant multiplicity. Especially, the trace theorem is needed for showing the necessity of the compatibility condition for the existence of solution to the characteristic mixed problem mentioned above.
Publié le : 2000-03-14
Classification:  Trace theorem,  anisotropic Sobolev space,  initial boundary value problem,  symmetric hyperbolic systems,  product of functions,  composite function,  46E35 
@article{1148393556,
     author = {Shizuta, Yasushi and Tanaka, Yumi},
     title = {Trace theorem in a class of anisotropic Sobolev spaces},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 27-30},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393556}
}

Shizuta, Yasushi; Tanaka, Yumi. Trace theorem in a class of anisotropic Sobolev spaces. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  27-30. http://gdmltest.u-ga.fr/item/1148393556/