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Traces for the dual of Sobolev spaces. (Portuguese) Zbl 0769.46028
Let \(\Omega\) be an open bounded set with sufficiently regular boundary \(\Gamma\). In this paper the author constructs a trace map \[ \text{Tr}: H^{-k}(0,T;H^ m(\Omega))\to H^{-k} \left( 0,T; \prod_{j=0}^{m- 1} H^{m-j-1/2} (\Gamma)\right), \] and applies his result to the study of certain hyperbolic problems.
MSC:
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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