TY  - INPR
A1  - Galstian, Anahit
A1  - Yagdjian, Karen
T1  - Exponential function of pseudo-differential operators
N2  - The paper is devoted to the construction of the exponential function of a matrix pseudo-differential operator which do not satisfy any of the known theorems (see, Sec.8 Ch.VIII and Sec.2 Ch.XI of [17]). The applications to the construction of the fundamental solution for the Cauchy problem for the hyperbolic operators with the characteristics of variable multiplicity are given, too.
T3  - Preprint - (1997) 13 
KW  - pseudodifferential operators
KW  - exponential function
KW  - Gevrey classes
KW  - hyperbolic operators
KW  - multiple characteristics
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2296
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-24982
ER  -