3 papers
math.AP2026
Asymptotic properties of solutions to the characteristic problem for the ultrahyperbolic equation
Maxim N. Demchenko
The paper concerns the problem for the ultrahyperbolic equation in the Euclidean space with data on a characteristic hyperplane. Smoothness and asymptotics of the solution along ch…
math.AP2026
On a certain representation of a solution to the characteristic problem for the ultrahyperbolic equation
Maxim N. Demchenko
We consider the characteristic problem for the ultrahyperbolic equation in the Euclidean space. The value of a solution is prescribed on the characteristic hyperplane. A well-posed…
math.AP2024
Existence of a solution to the scattering problem for the ultrahyperbolic equation
Maxim N. Demchenko
We consider the ultrahyperbolic equation in the Euclidean space. The behavior at the infinity of a certain class of solutions is studied. We examine the issue of existence of solut…