Geodesic
Parabolic pseudodifferential equations, hypersingular integrals, and Markov processes
Izvestiya. Mathematics , Tome 33 (1989) no. 2, pp. 233-259

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

A fundamental solution of the Cauchy problem is constructed and investigated for the equation $\frac{\partial u}{\partial t}+Au=f$, where $A$ is a pseudodifferential operator whose symbol is a sum of homogeneous functions. The results are used for an analytic construction of discontinuous Markov processes. Bibliography: 42 titles. 
@article{IM2_1989_33_2_a1,
     author = {A. N. Kochubei},
     title = {Parabolic pseudodifferential equations, hypersingular integrals, and {Markov} processes},
     journal = {Izvestiya. Mathematics },
     pages = {233--259},
     publisher = {mathdoc},
     volume = {33},
     number = {2},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_33_2_a1/}
}
TY  - JOUR
AU  - A. N. Kochubei
TI  - Parabolic pseudodifferential equations, hypersingular integrals, and Markov processes
JO  - Izvestiya. Mathematics 
PY  - 1989
SP  - 233
EP  - 259
VL  - 33
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1989_33_2_a1/
LA  - en
ID  - IM2_1989_33_2_a1
ER  - 
%0 Journal Article
%A A. N. Kochubei
%T Parabolic pseudodifferential equations, hypersingular integrals, and Markov processes
%J Izvestiya. Mathematics 
%D 1989
%P 233-259
%V 33
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1989_33_2_a1/
%G en
%F IM2_1989_33_2_a1
A. N. Kochubei. Parabolic pseudodifferential equations, hypersingular integrals, and Markov processes. Izvestiya. Mathematics , Tome 33 (1989) no. 2, pp. 233-259. http://geodesic.mathdoc.fr/item/IM2_1989_33_2_a1/