The regularity of the principal symbols of systems of pseudo-differential and partial differential operators as $p$-evolution
Matsumoto, Waichiro
J. Math. Kyoto Univ., Tome 45 (2005) no. 4, p. 129-144 / Harvested from Project Euclid
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The author proposed an idea on the principal part of linear systems of pseudo-differential equations in the Cauchy problem through the (pseudo-)normal form of systems in the formal symbol class and the theory of weighted determinant in [18]. In this paper, we show the regularity of the symbols of the principal part as $p$-evolution. In order to show this, we consider the regularity of the $p$-determinant of the matrices of pseudo-differential operators.
Publié le : 2005-05-15
Classification:  35S10,  35S05 
@article{1250282970,
     author = {Matsumoto, Waichiro},
     title = {The regularity of the principal symbols of systems of pseudo-differential and partial differential operators as $p$-evolution},
     journal = {J. Math. Kyoto Univ.},
     volume = {45},
     number = {4},
     year = {2005},
     pages = { 129-144},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250282970}
}

Matsumoto, Waichiro. The regularity of the principal symbols of systems of pseudo-differential and partial differential operators as $p$-evolution. J. Math. Kyoto Univ., Tome 45 (2005) no. 4, pp.  129-144. http://gdmltest.u-ga.fr/item/1250282970/