Exponential Function of Pseudo-Differential Operators in Gevrey Spaces |
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Authors: | Anahit Galstian |
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Institution: | 1.Department of Mathematics,University of Texas-Pan American,Edinburg,USA |
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Abstract: | The article is devoted to the construction of the exponential function of the matrix pseudo-differential operator, which does
not satisfy conditions of any known theorem (see, e.g. Sec. 8 Ch. VIII and Sec. 2 Ch. XI of Treves in Introduction to the
theory of pseudodifferential and Fourier integral operator, vols. 1 & 2, Plenum Press, New York, 1980). An application of the exponential function to the fundamental solution of the Cauchy problem for the hyperbolic operators
with the characteristics of variable multiplicity is given. |
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Keywords: | |
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