Geodesic
Regularization of distributions
Sbornik. Mathematics, Tome 214 (2023) no. 4, pp. 516-549

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

Sufficient conditions are presented for the construction of a regularization of a distribution in the form $a(\sigma)f$, where $f$ is a distribution and $a(\sigma)$ is an infinitely differentiable function outside a closed set $N$ which has power-like singularities of derivatives on $N$. Applications of such regularizations to an effective construction of solutions of the equation $Pu=f$, where $P(\sigma)$ is a polynomial, are considered. Bibliography: 14 titles.
Keywords: regularization of a distribution, manifold.
Mots-clés : multiplier 
@article{SM_2023_214_4_a2,
     author = {A. L. Pavlov},
     title = {Regularization of distributions},
     journal = {Sbornik. Mathematics},
     pages = {516--549},
     publisher = {mathdoc},
     volume = {214},
     number = {4},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2023_214_4_a2/}
}
TY  - JOUR
AU  - A. L. Pavlov
TI  - Regularization of distributions
JO  - Sbornik. Mathematics
PY  - 2023
SP  - 516
EP  - 549
VL  - 214
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2023_214_4_a2/
LA  - en
ID  - SM_2023_214_4_a2
ER  - 
%0 Journal Article
%A A. L. Pavlov
%T Regularization of distributions
%J Sbornik. Mathematics
%D 2023
%P 516-549
%V 214
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2023_214_4_a2/
%G en
%F SM_2023_214_4_a2
A. L. Pavlov. Regularization of distributions. Sbornik. Mathematics, Tome 214 (2023) no. 4, pp. 516-549. http://geodesic.mathdoc.fr/item/SM_2023_214_4_a2/