Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations
Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms
Existence, blow-up and exponential decay for a nonlinear Love equation associated with Dirichlet conditions
In this paper we consider a nonlinear Love equation associated with Dirichlet conditions. First, under suitable conditions, the existence of a unique local weak solution is proved. Next, a blow up result for solutions with negative initial energy is also established. Finally, a sufficient condition guaranteeing the global existence and exponential decay of weak solutions is given. The proofs are based on the linearization method, the Galerkin method associated with a priori estimates, weak convergence,...
Existence de lois de conservation dans le cas cyclique
Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms
We consider the existence, both locally and globally in time, the decay and the blow up of the solution for the extensible beam equation with nonlinear damping and source terms. We prove the existence of the solution by Banach contraction mapping principle. The decay estimates of the solution are proved by using Nakao’s inequality. Moreover, under suitable conditions on the initial datum, we prove that the solution blow up in finite time.
Existence des opérateurs d'ondes pour les systèmes hyperboliques avec un potentiel périodique en temps
Existence d'ondes de raréfaction pour des écoulements isentropiques
Existence et unicité de solutions pour une inéquation de type hyperbolique du second ordre non linéaire
Existence for a class of discrete hyperbolic problems.
Existence globale pour un système hyperbolique semi-linéaire de la théorie cinétique des gaz
Existence in the Large for ... u = F (u) in Two Space Dimensions.
Existence of absorbing set for a nonlinear wave equation.
Existence of almost automorphic solutions to some classes of nonautonomous higher-order differential equations.
Existence of classical solutions and feedback stabilization for the flow in gas networks
We consider the flow of gas through pipelines controlled by a compressor station. Under a subsonic flow assumption we prove the existence of classical solutions for a given finite time interval. The existence result is used to construct Riemannian feedback laws and to prove a stabilization result for a coupled system of gas pipes with a compressor station. We introduce a Lyapunov function and prove exponential decay with respect to the L2-norm.
Existence of classical solutions and feedback stabilization for the flow in gas networks
We consider the flow of gas through pipelines controlled by a compressor station. Under a subsonic flow assumption we prove the existence of classical solutions for a given finite time interval. The existence result is used to construct Riemannian feedback laws and to prove a stabilization result for a coupled system of gas pipes with a compressor station. We introduce a Lyapunov function and prove exponential decay with respect to the L2-norm.
Existence of global solution of a nonlinear wave equation with short-range potential
Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in dimensions
Existence of global solutions to a quasilinear wave equation with general nonlinear damping.
Existence of Global Solutions to Supercritical Semilinear Wave Equations
∗The author was partially supported by Alexander von Humboldt Foundation and the Contract MM-516 with the Bulgarian Ministry of Education, Science and Thechnology.In this work we study the existence of global solution to the semilinear wave equation (1.1) (∂2t − ∆)u = F(u), where F(u) = O(|u|^λ) near |u| = 0 and λ > 1. Here and below ∆ denotes the Laplace operator on R^n. The existence of solutions with small initial data, for the case of space dimensions n = 3 was studied by F. John in [13],...
Existence of global solutions to the Cauchy problem for the seminlinear dissipative wave equations.