Pseudodifferential Operators Over the Real Field

Nguyen Minh Chuong
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Nguyen Minh Chuong: Vietnam Academy of Science and Technology, Institute of Mathematics

Chapter Chapter 1 in Pseudodifferential Operators and Wavelets over Real and p-adic Fields, 2018, pp 1-109 from Springer

Abstract: Abstract As noted in the preface, the theory of ψDO (and its generalizations) has numerous applications to many theoretical and applied branches of modern science. For this theory, one needs many functional spaces, starting with the well-known Sobolev spaces. Because this theory is very well-developed, we would like to describe here, briefly, the standard ψDO, the attractive ψDO of principal type introduced by the Russian mathematician Yu.V. Egorov, and some semilinear boundary value problems that we studied together.

Date: 2018
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DOI: 10.1007/978-3-319-77473-2_1

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