o-oценки решений задачи Коши для строго гиперболического уравнения второго порядка
Oblique derivative problems for generalized Rassias equations of mixed type with several characteristic boundaries.
Oblique derivative problems for second-order hyperbolic equations with degenerate curve.
Observability and controllability for a vibrating string with dynamical boundary control.
Observability and uniqueness theorem for a coupled hyperbolic system.
Observability inequalities and measurable sets
This paper presents two observability inequalities for the heat equation over . In the first one, the observation is from a subset of positive measure in , while in the second, the observation is from a subset of positive surface measure on . It also proves the Lebeau-Robbiano spectral inequality when is a bounded Lipschitz and locally star-shaped domain. Some applications for the above-mentioned observability inequalities are provided.
Observability properties of a semi-discrete 1d wave equation derived from a mixed finite element method on nonuniform meshes
The goal of this article is to analyze the observability properties for a space semi-discrete approximation scheme derived from a mixed finite element method of the 1d wave equation on nonuniform meshes. More precisely, we prove that observability properties hold uniformly with respect to the mesh-size under some assumptions, which, roughly, measures the lack of uniformity of the meshes, thus extending the work [Castro and Micu, Numer. Math.102 (2006) 413–462] to nonuniform meshes. Our results...
Obstacle problems for scalar conservation laws
In this paper we are interested in bilateral obstacle problems for quasilinear scalar conservation laws associated with Dirichlet boundary conditions. Firstly, we provide a suitable entropy formulation which ensures uniqueness. Then, we justify the existence of a solution through the method of penalization and by referring to the notion of entropy process solution due to specific properties of bounded sequences in . Lastly, we study the behaviour of this solution and its stability properties with...
Obstacle problems for scalar conservation laws
In this paper we are interested in bilateral obstacle problems for quasilinear scalar conservation laws associated with Dirichlet boundary conditions. Firstly, we provide a suitable entropy formulation which ensures uniqueness. Then, we justify the existence of a solution through the method of penalization and by referring to the notion of entropy process solution due to specific properties of bounded sequences in L∞. Lastly, we study the behaviour of this solution and its stability properties...
On systems of conservation laws with fluxes that are entropies.
On 3D slightly compressible Euler equations.
On a class of implicit and explicit schemes of Van-Leer type for scalar conservation laws
On a class of initial-boundary value problems in a domain with boundary containing isolated points
On a class of mixed boundary value problems for linear hyperbolic equations
On a class of singular hyperbolic equation with a weighted integral condition.
On a counterexample of Garofalo-Lin for a unique continuation of Schrödinger equation.
On a Darboux problem for a third-order hyperbolic equation with multiple characteristics.
On a Darboux type multidimensional problem for second-order hyperbolic systems.
On a global classical solution of a quasilinear hyperbolic equation.
On a Global Existence Theorem of Small Amplitude Solutions for Nonlinear Wave Equations in an Exterior Domain.