Existence of stationary solutions for some integro-differential equations with superdiffusion
Vougalter, Vitali1 ; Volpert, Vitaly2
1 University of Toronto, TORONTO, CANADA
2 Université Lyon 1, VILLEURBANNE CEDEX, FRANCE
Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 185-201.

The work deals with the existence of solutions of an integro-di fferential equation arising in population dynamics in the case of anomalous di ffusion. The proof of existence of solutions relies on a fixed point technique. Solvability conditions for non-Fredholm elliptic operators in unbounded domains are being used.

DOI : 10.4171/RSMUP/137-9
Classification : 35, 47
Mots clés : Integro-differential equations, non Fredholm operators, Sobolev spaces
Vougalter, Vitali 1 ; Volpert, Vitaly 2

1 University of Toronto, TORONTO, CANADA
2 Université Lyon 1, VILLEURBANNE CEDEX, FRANCE 
@article{RSMUP_2017__137__185_0,
     author = {Vougalter, Vitali and Volpert, Vitaly},
     title = {Existence of stationary solutions for some integro-differential equations with superdiffusion},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {185--201},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     year = {2017},
     doi = {10.4171/RSMUP/137-9},
     mrnumber = {3652874},
     zbl = {1371.35040},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/137-9/}
}
TY  - JOUR
AU  - Vougalter, Vitali
AU  - Volpert, Vitaly
TI  - Existence of stationary solutions for some integro-differential equations with superdiffusion
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2017
SP  - 185
EP  - 201
VL  - 137
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://archive.numdam.org/articles/10.4171/RSMUP/137-9/
DO  - 10.4171/RSMUP/137-9
ID  - RSMUP_2017__137__185_0
ER  - 
%0 Journal Article
%A Vougalter, Vitali
%A Volpert, Vitaly
%T Existence of stationary solutions for some integro-differential equations with superdiffusion
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2017
%P 185-201
%V 137
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://archive.numdam.org/articles/10.4171/RSMUP/137-9/
%R 10.4171/RSMUP/137-9
%F RSMUP_2017__137__185_0
Vougalter, Vitali; Volpert, Vitaly. Existence of stationary solutions for some integro-differential equations with superdiffusion. Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 185-201. doi : 10.4171/RSMUP/137-9. http://archive.numdam.org/articles/10.4171/RSMUP/137-9/

Cité par Sources :