## Osaka Journal of Mathematics

### Solvability of some integro-differential equations with drift

#### Abstract

We prove the existence in the sense of sequences of solutions for some integro-differential type equations involving the drift term in the appropriate $H^{2}$ spaces using the fixed point technique when the elliptic problems contain second order differential operators with and without Fredholm property. It is shown that, under the reasonable technical conditions, the convergence in $L^{1}$ of the integral kernels yields the existence and convergence in $H^{2}$ of solutions.

#### Article information

Source
Osaka J. Math., Volume 57, Number 2 (2020), 247-265.

Dates
First available in Project Euclid: 6 April 2020

https://projecteuclid.org/euclid.ojm/1586160077

Mathematical Reviews number (MathSciNet)
MR4081731

Zentralblatt MATH identifier
07196677

#### Citation

Efendiev, Messoud; Vougalter, Vitali. Solvability of some integro-differential equations with drift. Osaka J. Math. 57 (2020), no. 2, 247--265. https://projecteuclid.org/euclid.ojm/1586160077

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