The -expansion method for solving the combined and the double combined sinh-cosh-Gordon equations.
The symbol of a lagrangian distribution
Time-evolution of a caustic.
Transformations of differential equations
Uniform stabilization of some damped second order evolution equations with vanishing short memory
We consider a damped abstract second order evolution equation with an additional vanishing damping of Kelvin–Voigt type. Unlike the earlier work by Zuazua and Ervedoza, we do not assume the operator defining the main damping to be bounded. First, using a constructive frequency domain method coupled with a decomposition of frequencies and the introduction of a new variable, we show that if the limit system is exponentially stable, then this evolutionary system is uniformly − with respect to the calibration...
Unique continuation theorems for solutions of partial differential equations and inequalities
Uniqueness of the Multi-Dimensional Inverse Scattering Problem for Time Dependent Potentials.
Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients
We prove that the Cauchy problem for a class of hyperbolic equations with non-Lipschitz coefficients is well-posed in and in Gevrey spaces. Some counter examples are given showing the sharpness of these results.
Асимптотика фундаментального решения задачи Коши для гиперболического уравнения второго порядка, содержащего большой параметр
Дискретный аналог метода Гельфанда-Левитана в двумерной обратной задаче для гиперболического уравнения.
Многомерная обратная задача для уравнений с памятью.
О возможной скорости убывания на бесконечности решений уравнений в частных производных второго порядка
Подход Эрсела к получению априорной оценки решения задачи Неймана для уравнения Гельмгольца
Решение задачи Коши для линейных гиперболических уравнений методом конечных разностей