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AuthorPeternell, Th. editor
TitleSobolev Spaces [electronic resource] / by Vladimir G. Maz'ja
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1985
Connect tohttp://dx.doi.org/10.1007/978-3-662-09922-3
Descript XIX, 488 p. online resource

SUMMARY

The Sobolev spaces, i. e. the classes of functions with derivatives in L , occupy p an outstanding place in analysis. During the last two decades a substantial contribution to the study of these spaces has been made; so now solutions to many important problems connected with them are known. In the present monograph we consider various aspects of Sobolev space theory. Attention is paid mainly to the so called imbedding theorems. Such theorems, originally established by S. L. Sobolev in the 1930s, proved to be a useful tool in functional analysis and in the theory of linear and nonlinear parยญ tial differential equations. We list some questions considered in this book. 1. What are the requirements on the measure f1, for the inequality q


Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis



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