Fourier integral operators of infinite order and applications to SG-hyperbolic equations
نویسندگان
چکیده
منابع مشابه
Applications of Fourier Integral Operators
Fourier integral operators, for the calculus of which I refer to Hörmander [17], have been applied in essentially two ways: as similarity transformations and in the description of the solutions of genuinely nonelliptic (pseudo-) differential equations. The first application is based on the observation of Egorov [12] that if P9 resp. g, is a pseudo-differential operator with principal symbol equ...
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متن کاملM. Cappiello PSEUDODIFFERENTIAL PARAMETRICES OF INFINITE ORDER FOR SG-HYPERBOLIC PROBLEMS
In this paper we consider a class of symbols of infinite order and develop a global calculus for the related pseudodifferential operators in the functional frame of the Gelfand-Shilov spaces of type S. As an application, we construct a parametrix for the Cauchy problem associated to an operator with principal part Dm t and lower order terms given by SGoperators, cf. Introduction. We do not assu...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 2004
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496164804