Propagation, reflection and refraction of singularities for a hyperbolic transmission problem in two adjacent angular regions

Lorenza Diomeda; Benedetta Lisena

Displaying similar documents to “Propagation, reflection and refraction of singularities for a hyperbolic transmission problem in two adjacent angular regions”

Remark to the comparison of solution properties of Love's equation with those of wave equation

Věra Radochová (1978)

Aplikace matematiky

Similarity:

In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.

Fibration of the phase space for the Korteweg-de Vries equation

Thomas Kappeler (1991)

Annales de l'institut Fourier

Similarity:

In this article we prove that the fibration of $L^{2} (S^{1})$ by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to $N$ -gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.

Wave equation with a concentrated moving source

Vladimír B. Kameń (1991)

Applications of Mathematics

Similarity:

A tempered distribution which is an exact solution of the wave equation with a concentrated moving source on the right-hand side, is obtained in the paper by means of the Cagniard - de Hoop method.

First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods

Heinz Toparkus (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Similarity:

In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear partial differential equations of second order with constant coefficients. The classification of the systems is done using elementary methods of linear algebra. Each type presents its special canonical form in the associated characteristic coordinate system. Then you can formulate...

Precise asymptotic behavior of solutions to damped simple pendulum equations.

Shibata, Tetsutaro (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

Norm estimates of discrete Schrödinger operators

Ryszard Szwarc (1998)

Colloquium Mathematicae

Similarity:

Harper’s operator is defined on $ℓ^{2} (Z)$ by $H_{θ} ξ (n) = ξ (n + 1) + ξ (n - 1) + 2 cos n θ ξ (n),$ where $θ \in [0, π]$ . We show that the norm of $∥ H_{θ} ∥$ is less than or equal to $2 \sqrt{2}$ for $π / 2 \leq θ \leq π$ . This solves a conjecture stated in [1]. A general formula for estimating the norm of self-adjoint tridiagonal infinite matrices is also derived.