Add to ORKGUsing the descent method for the fundamental solution of the heat equation with a scalar parameter, we find the fundamental solution of the multidimensional Helmholtz equation in an explicit form. We also find a boundary condition of the volume potential for an elliptic-parabolic equation with a scalar parameter. In turn, this condition allows us to construct and study a new correct nonlocal (initial) Bitsadze-Samarsky type problem for an elliptic-parabolic equation with a scalar parameter
Abstract. This monograph is devoted to the following interrelated problems: the solvability and smoo...
AbstractThis work is devoted to the investigation of the nonclassical problem for a multidimensional...
This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a com...
This paper belongs to the general theory of well-posed initial-boundary value problems for parabolic...
This paper belongs to the general theory of well-posed initial-boundary value problems for parabolic...
We study a nonlocal initial-boundary value problem for the space-multidimensional heat equation in a...
We study a nonlocal initial-boundary value problem for the space-multidimensional heat equation in a...
A homogeneous boundary condition is constructed for the parabolic equation in an arbitrary cylindr...
In this paper, we study boundary properties and some questions of spectral geometry for certain volu...
In this paper, we study boundary properties and some questions of spectral geometry for certain volu...
In this paper, we study boundary properties and some questions of spectral geometry for certain volu...
A homogeneous boundary condition is constructed for the parabolic equation (∂t + I − Δ)u = f in an a...
Due to the fact that the results find theoretical and practical applications, great attention is pai...
We study the Dirichlet problem for the parabolic equation ut = ∆um − buβ, m> 0, β> 0, b ∈ IR i...
We consider a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equa...
Abstract. This monograph is devoted to the following interrelated problems: the solvability and smoo...
AbstractThis work is devoted to the investigation of the nonclassical problem for a multidimensional...
This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a com...
This paper belongs to the general theory of well-posed initial-boundary value problems for parabolic...
This paper belongs to the general theory of well-posed initial-boundary value problems for parabolic...
We study a nonlocal initial-boundary value problem for the space-multidimensional heat equation in a...
We study a nonlocal initial-boundary value problem for the space-multidimensional heat equation in a...
A homogeneous boundary condition is constructed for the parabolic equation in an arbitrary cylindr...
In this paper, we study boundary properties and some questions of spectral geometry for certain volu...
In this paper, we study boundary properties and some questions of spectral geometry for certain volu...
In this paper, we study boundary properties and some questions of spectral geometry for certain volu...
A homogeneous boundary condition is constructed for the parabolic equation (∂t + I − Δ)u = f in an a...
Due to the fact that the results find theoretical and practical applications, great attention is pai...
We study the Dirichlet problem for the parabolic equation ut = ∆um − buβ, m> 0, β> 0, b ∈ IR i...
We consider a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equa...
Abstract. This monograph is devoted to the following interrelated problems: the solvability and smoo...
AbstractThis work is devoted to the investigation of the nonclassical problem for a multidimensional...
This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a com...