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This article is cited in 2 scientific papers (total in 2 papers)
On Maslov's method for constructing combined asymptotics for $h$-pseudodifferential equations
V. G. Danilov, P. N. Zhevandrov
Abstract:
The authors discuss a scheme proposed by V. P. Maslov for constructing combined (with respect to smoothness and a small parameter $h$) asymptotics of the solution of the Cauchy problem for $h$-pseudodifferential equations. The exposition is carried out by means of examples of equations for the oscillations of a crystal lattice and for water waves. The main attention is given to the isolation of the leading term of the asymptotics. A number of estimates are proved for the remainders in formulas for the action of an $h$-pseudodifferential operator on the exponential function, with respect to smoothness and the parameter.
Bibliography: 9 titles
Received: 17.06.1987
Citation:
V. G. Danilov, P. N. Zhevandrov, “On Maslov's method for constructing combined asymptotics for $h$-pseudodifferential equations”, Izv. Akad. Nauk SSSR Ser. Mat., 53:2 (1989), 411–424; Math. USSR-Izv., 34:2 (1990), 425–439
Linking options:
https://www.mathnet.ru/eng/im1248https://doi.org/10.1070/IM1990v034n02ABEH000659 https://www.mathnet.ru/eng/im/v53/i2/p411
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Abstract page: | 225 | Russian version PDF: | 77 | English version PDF: | 3 | References: | 31 | First page: | 1 |
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