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},
     year = {2017},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     doi = {10.4171/RSMUP/137-9},
     mrnumber = {3652874},
     zbl = {1371.35040},
     url = {https://www.numdam.org/articles/10.4171/RSMUP/137-9/}
}
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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

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