Solvability conditions for some linear and nonlinear non-Fredholm elliptic problems

V Vougalter, V Volpert - Analysis and Mathematical Physics, 2012 - Springer
We obtain solvability conditions in H^ 2 for some elliptic equations in cylindrical domains
using the methods of spectral theory and scattering theory for Schrödinger type operators …

On the existence of stationary solutions for some non-Fredholm integro-differential equations

V Vougalter - Documenta Mathematica, 2011 - content.ems.press
On the Existence of Stationary Solutions for Some Non-Fredholm Integro-Differential Equations
Page 1 Documenta Math. 561 On the Existence of Stationary Solutions for Some Non-Fredholm …

Solvability of some integro-differential equations with drift

M Efendiev, V Vougalter - 2020 - projecteuclid.org
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 …

Solvability in the sense of sequences for some non-Fredholm operators with the logarithmic Laplacian

M Efendiev, V Vougalter - Monatshefte für Mathematik, 2023 - Springer
We establish the solvability of certain linear nonhomogeneous equations and demonstrate
that under reasonable technical conditions the convergence in L 2 (R d) of their right sides …

Solvability of some integro-differential equations with anomalous diffusion and transport

V Vougalter, V Volpert - Analysis and Mathematical Physics, 2021 - Springer
The article deals with the existence of solutions of an integro-differential equation in the case
of anomalous diffusion with the negative Laplace operator in a fractional power in the …

[PDF][PDF] On the solvability conditions for a linearized Cahn-Hilliard equation

V Volpert, V Vougalter - Rend. Istit. Mat. Univ. Trieste, 2011 - rendiconti.dmi.units.it
On the Solvability Conditions for a Linearized Cahn-Hilliard Equation Page 1 Rend. Istit. Mat.
Univ. Trieste Volume 43 (2011), 1–9 On the Solvability Conditions for a Linearized Cahn-Hilliard …

Existence of solutions for some systems of integro-differential equations with transport and superdiffusion

M Efendiev, V Vougalter - Analysis and Mathematical Physics, 2022 - Springer
We establish the existence in the sense of sequences of solutions for certain systems of
integro-differential equations which involve the drift terms and the square root of the one …

Solvability conditions for a linearized Cahn-Hilliard equation of sixth order

V Vougalter, V Volpert - Mathematical Modelling of Natural …, 2012 - mmnp-journal.org
Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order Page 1 “ch6f” —
2012/2/20 — 19:56 — page 146 — #1 i i i i Math. Model. Nat. Phenom. Vol. 7, No. 2, 2012 …

Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions

M Efendiev, V Vougalter - Journal of Pseudo-Differential Operators and …, 2023 - Springer
We study the solvability of certain linear nonhomogeneous equations containing the
logarithm of the sum of the two Schrödinger operators in higher dimensions and …

Solvability of some integro-differential equations with drift and superdiffusion

M Efendiev - Linear and Nonlinear Non-Fredholm Operators: Theory …, 2023 - Springer
Solvability of some integro-differential equations with drift and superdiffusion Page 1 Chapter
3 Solvability of some integro-differential equations with drift and superdiffusion In this chapter …