On the S-matrix for Schrödinger operators with long-range potentials.
On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.
On the solution of boundary value problems for sandwich plates
A mathematical model of the equilibrium problem of elastic sandwich plates is established. Using the theory of inequalities of Korn's type for a general class of elliptic systems the existence and uniqueness of a variational solution is proved.
On the solution of reaction-diffusion equations with double diffusivity.
On the solvability in Gevrey of a linear operator in two variables.
On the solvability of a variational inequality problem and application to a problem of two membranes.
On the spectrum of the p-biharmonic operator involving p-Hardy's inequality
In this paper, we study the spectrum for the following eigenvalue problem with the p-biharmonic operator involving the Hardy term: in Ω, . By using the variational technique and the Hardy-Rellich inequality, we prove that the above problem has at least one increasing sequence of positive eigenvalues.
On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws
On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference.
On the Stefan problem: the variational approach and some applications
On the structure of layers for singularly perturbed equations in the case of unbounded energy
We consider singular perturbation variational problems depending on a small parameter . The right hand side is such that the energy does not remain bounded as . The asymptotic behavior involves internal layers where most of the energy concentrates. Three examples are addressed, with limits elliptic, parabolic and hyperbolic respectively, whereas the problems with are elliptic. In the parabolic and hyperbolic cases, the propagation of singularities appear as an integral property after integrating...
On the structure of layers for singularly perturbed equations in the case of unbounded energy
We consider singular perturbation variational problems depending on a small parameter ε. The right hand side is such that the energy does not remain bounded as ε → 0. The asymptotic behavior involves internal layers where most of the energy concentrates. Three examples are addressed, with limits elliptic, parabolic and hyperbolic respectively, whereas the problems with ε > 0 are elliptic. In the parabolic and hyperbolic cases, the propagation of singularities appear as an integral property after...
On the symmetries of the differential equation governing damped harmonic vibration.
On the symmetry of blowup solutions to a mean field equation
On the theory of thermoelasticity
The aim of this paper is to prove some properties of the solution to the Cauchy problem for the system of partial differential equations describing thermoelasticity of nonsimple materials proposed by D. Iesan. Explicit formulas for the Fourier transform and some estimates in Sobolev spaces for the solution of the Cauchy problem are proved.
On the Uniqueness of Solutions and on the Convergence of Successive Approximations for Certain Initial Problems of Equations of the Higher Orders
On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type
On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics
On the uniqueness of weak solutions for the 3D Navier-Stokes equations
On the variational principles for partial differential equations