Abstract
This chapter contains a number of results that are used in the rest of the book. In particular, distribution theory and its natural progression into the theory of Sobolev spaces is presented. Enough material is given so that the discussion is coherent and not just a compendium of prerequisite theorems. Some of the proofs are sketched in the exercises, but several important theorems, for which the proofs are more involved, are not proven. The proofs are easily found in the references (Refs. 1–9). The acceptance of these results should not detract from following the main themes of the book.
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© 1997 Springer Science+Business Media New York
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Bassanini, P., Elcrat, A.R. (1997). Distributions and Sobolev Spaces. In: Theory and Applications of Partial Differential Equations. Mathematical Concepts and Methods in Science and Engineering, vol 46. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1875-8_8
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DOI: https://doi.org/10.1007/978-1-4899-1875-8_8
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