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.
On a class of singular hyperbolic equation with a weighted integral condition.
On a Darboux type multidimensional problem for second-order hyperbolic systems.
On a global in time existence theorem of smooth solutions to an nonlinear wave equation with viscosity.
On a high-order iterative scheme for a nonlinear Love equation
In this paper, a high-order iterative scheme is established for a nonlinear Love equation associated with homogeneous Dirichlet boundary conditions. This is a development based on recent results (L. T. P. Ngoc, N. T. Long (2011); L. X. Truong, L. T. P. Ngoc, N. T. Long (2009)) to get a convergent sequence at a rate of order to a local unique weak solution of the above mentioned equation.
On a mixed nonlocal problem for a wave equation.
On a nonlinear wave equation in unbounded domains.
On a parabolic strongly nonlinear problem on manifolds.
On a spatial problem of Darboux type for a second-order hyperbolic equation.
On a system of nonlinear wave equations with the Kirchhoff-Carrier and Balakrishnan-Taylor terms
We study a system of nonlinear wave equations of the Kirchhoff-Carrier type containing a variant of the Balakrishnan-Taylor damping in nonlinear terms. By the linearization method together with the Faedo-Galerkin method, we prove the local existence and uniqueness of a weak solution. On the other hand, by constructing a suitable Lyapunov functional, a sufficient condition is also established to obtain the exponential decay of weak solutions.
On a weakly hyperbolic quasilinear mixed problem of second order
On an inverse problem for a linear hyperbolic integrodifferential equation.
On existence and uniqueness of solutions of nonlocal problems for hyperbolic differential-functional equations in two independent variables
We seek for classical solutions to hyperbolic nonlinear partial differential-functional equations of the second order. We give two theorems on existence and uniqueness for problems with nonlocal conditions in bounded and unbounded domains.
On initial boundary value problem with Dirichlet integral conditions for a hyperbolic equation with the Bessel operator.
On periodic in the plane solutions of second order linear hyperbolic systems
Sufficient conditions for the problem to have the Fredholm property and to be uniquely solvable are established, where and are positive constants and
On singular perturbations for quasilinear IBV problems
On solvability of boundary value problems for the wave equation with a nonlinear dissipation in noncylindrical domains.
On some boundary value problems for a class of hyperbolic systems of second order in conic domains.