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- W4298285280 abstract "In this chapter we discuss the basic theory of pseudodifferential operators as it has been developed to treat problems in linear PDE. We define pseudodifferential operators with symbols in classes denoted S ρ,δ m introduced by L. Hörmander. In §2 we derive some useful properties of their Schwartz kernels. In §3 we discuss adjoints and products of pseudodifferential operators. In §4 we show how the algebraic properties can be used to establish the regularity of solutions to elliptic PDE with smooth coefficients. In §5 we discuss mapping properties on L 2 and on the Sobolev spaces H s . In §6 we establish Gårding’s inequality." @default.
- W4298285280 created "2022-10-01" @default.
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- W4298285280 date "1996-01-01" @default.
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- W4298285280 title "Pseudodifferential Operators" @default.
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- W4298285280 doi "https://doi.org/10.1007/978-1-4757-4187-2_1" @default.
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