Abstract
The theory of pseudo differential operators, discussed in § 1, is well suited for investigating various problems connected with elliptic differential equations. However, this theory fails to be adequate for studying equations of hyperbolic type, and one is then forced to examine a wider class of operators, the so-called Fourier integral operators (Egorov [1975], Hörmander [1968, 1971, 1983, 1985], Kumano-go [1982], Shubin [1978], Taylor [1981], Tréves [1980]).
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© 1994 Springer-Verlag Berlin Heidelberg
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Egorov, Y.V., Shubin, M.A. (1994). Fourier Integral Operators. In: Egorov, Y.V., Shubin, M.A. (eds) Partial Differential Equations II. Encyclopaedia of Mathematical Sciences, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57876-2_4
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DOI: https://doi.org/10.1007/978-3-642-57876-2_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52001-6
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