An Abbreviated Numerical Scheme for Linear Symmetric Hyperbolic Equations, n ... 2.
Asymptotic behavior for a dissipative plate equation in with periodic coefficients.
Asymptotic stability for a nonlinear evolution equation
We establish the asymptotic stability of solutions of the mixed problem for the nonlinear evolution equation .
Compact attractors for time-periodic age-structured population models.
Condition nécessaire et suffisante d'hyperbolicité
Existence of solutions of nonlinear hyperbolic equations
Extension d'un théorème de l. Gårding à certaines fonctions hyperboliques
Fundamentallösungen von homogenen Differentialoperatoren [Book]
Numerical experiments for mathematical models of railway track oscillations
Two mathematical models of railway track oscillations are compared on the basis of numerical experiments.
On geometry of fronts in wave propagations
We give a geometric descriptions of (wave) fronts in wave propagation processes. Concrete form of defining function of wave front issued from initial algebraic variety is obtained by the aid of Gauss-Manin systems associated with certain complete intersection singularities. In the case of propagations on the plane, we get restrictions on types of possible cusps that can appear on the wave front.
On the hyperbolicity of a third order operator and the generalized Goursat-Darboux problem
On the problem of symmetrization of hyperbolic equations
The aspects of symmetrization of hyperbolic equations which will be considered in this review have their own history and are related to some classical results from other areas of mathematics ([12]). Here symmetrization means representation of an initial system of equations in the form of a symmetric t-hyperbolic system in the sense of Friedrichs. Some equations of mathematical physics, for example, the equations of acoustics, of gas dynamics, etc. already have this form. In the 70's S. K. Godunov...
Parameterintegration zur Berechnung von Fundamentallösungen [Book]
Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term
Perturbations singulières coercives : réduction à des perturbations régulières et applications
Problème mixte hyperbolique avec saut sur la condition aux limite
Problèmes hyperboliques singuliers
Sharp Domains of Determinacy and Hamilton-Jacobi Equations
If is a linear hyperbolic system of partial differential operators for which local uniqueness in the Cauchy problem at spacelike hypersurfaces is known, we find nearly optimal domains of determinacy of open sets . The frozen constant coefficient operators determine local convex propagation cones, . Influence curves are curves whose tangent always lies in these cones. We prove that the set of points which cannot be reached by influence curves beginning in the exterior of is a domain of...
Solutions hyperfonctions du problème de Cauchy
Stabilization of the Schrödinger equation.