- 18-79 Messoud Efendiev, Vitali Vougalter
- Solvability of some integro-differential equations with drift
Jul 13, 18
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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.