Geodesic
Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a~multiplicative one-parameter group
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 107-127

Voir la notice de l'article provenant de la source Math-Net.Ru

We study solutions to partial differential equations with homogeneous polynomial symbols with respect to a multiplicative one-parameter transformation group such that all eigenvalues of the infinitesimal matrix are positive. The infinitesimal matrix may contain a nilpotent part. In the asymptotic scale of regularly varying functions, we find conditions under which such differential equations have asymptotically homogeneous solutions in the critical case. 
@article{TM_2014_285_a7,
     author = {Yu. N. Drozhzhinov and B. I. Zavialov},
     title = {Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a~multiplicative one-parameter group},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {107--127},
     publisher = {mathdoc},
     volume = {285},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2014_285_a7/}
}
TY  - JOUR
AU  - Yu. N. Drozhzhinov
AU  - B. I. Zavialov
TI  - Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a~multiplicative one-parameter group
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2014
SP  - 107
EP  - 127
VL  - 285
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2014_285_a7/
LA  - ru
ID  - TM_2014_285_a7
ER  - 
%0 Journal Article
%A Yu. N. Drozhzhinov
%A B. I. Zavialov
%T Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a~multiplicative one-parameter group
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2014
%P 107-127
%V 285
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2014_285_a7/
%G ru
%F TM_2014_285_a7
Yu. N. Drozhzhinov; B. I. Zavialov. Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a~multiplicative one-parameter group. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 107-127. http://geodesic.mathdoc.fr/item/TM_2014_285_a7/