Add to ORKGThe estimation for a trace is received functions which is the solution of the Helmholz equation in halfplane to Sobolev space Hs. It is shown, that solutions of the Helmholz equation in space HS + at s≥1/2 does not exist. And the solution, appropriate to a flat wave, does not belong to Sobolev space HS + at any index s
The classical solutions of the Heimholtz equation resulting from the separation-of-variables procedu...
This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz e...
The topic of thesis is the wave equation. The first chapter is introduction, the overview of the th...
The estimation for a trace is received functions which is the solution of the Helmholz equation in h...
I consider the problems of diffraction of electromagnetic waves on ahalf-plane, which has a finite i...
Weighted Sobolev spaces are used to settle questions of existence and uniqueness of solutions to ext...
The Dirichlet and impedance boundary value problems for the Helmholtz equation in a half-plane with ...
AbstractIn space dimension n⩾3, we consider the electromagnetic Schrödinger hamiltonian H=(∇−iA(x))2...
© 2018, Pleiades Publishing, Ltd. I consider the problems of diffraction of electromagnetic waves on...
The exterior Helmholtz problem can be efficiently solved by reformulating the differential equation ...
Abstract. In space dimension n ≥ 3, we consider the electromagnetic Schrödinger Hamiltonian H = (∇−...
Abstract. In space dimension n ≥ 3, we consider the electromagnetic Schrödinger Hamiltonian H = (∇−...
submitted for publication to Applied and Computational Harmonic AnalysisWe consider the problem of r...
The Cauchy problem for the Helmholtz equation is investigated in the case when a piecewise-smooth bo...
We prove unique existence of solution for the impedance (or third) boundary value problem for the He...
The classical solutions of the Heimholtz equation resulting from the separation-of-variables procedu...
This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz e...
The topic of thesis is the wave equation. The first chapter is introduction, the overview of the th...
The estimation for a trace is received functions which is the solution of the Helmholz equation in h...
I consider the problems of diffraction of electromagnetic waves on ahalf-plane, which has a finite i...
Weighted Sobolev spaces are used to settle questions of existence and uniqueness of solutions to ext...
The Dirichlet and impedance boundary value problems for the Helmholtz equation in a half-plane with ...
AbstractIn space dimension n⩾3, we consider the electromagnetic Schrödinger hamiltonian H=(∇−iA(x))2...
© 2018, Pleiades Publishing, Ltd. I consider the problems of diffraction of electromagnetic waves on...
The exterior Helmholtz problem can be efficiently solved by reformulating the differential equation ...
Abstract. In space dimension n ≥ 3, we consider the electromagnetic Schrödinger Hamiltonian H = (∇−...
Abstract. In space dimension n ≥ 3, we consider the electromagnetic Schrödinger Hamiltonian H = (∇−...
submitted for publication to Applied and Computational Harmonic AnalysisWe consider the problem of r...
The Cauchy problem for the Helmholtz equation is investigated in the case when a piecewise-smooth bo...
We prove unique existence of solution for the impedance (or third) boundary value problem for the He...
The classical solutions of the Heimholtz equation resulting from the separation-of-variables procedu...
This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz e...
The topic of thesis is the wave equation. The first chapter is introduction, the overview of the th...