On M. Kac's probabilistic formula for the solution of the telegraphist's equation
On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case
Energy functionals for the Preisach hysteresis operator are used for proving the existence of weak periodic solutions of the one-dimensional systems of Maxwell equations with hysteresis for not too large right-hand sides. The upper bound for the speed of propagation of waves is independent of the hysteresis operator.
On measure solutions to the Zero-pressure gas model and their uniqueness
The system of zero-pressure gas dynamics conservation laws describes the dynamics of free particles sticking under collision while mass and momentum are conserved. The existence of such solutions was established some time ago. Here we report a uniqueness result that uses the Oleinik entropy condition and a cohesion condition. Both of these conditions are automatically satisfied by solutions obtained in previous existence results. Important tools in the proof of uniqueness are regularizations, generalized...
On measure solutions to the zero-pressure gas model and their uniqueness
On movable singularities of self-similar solutions of semilinear wave equations
In this paper we analyze movable singularities of the solutions of the equation for self-similar profiles resulting from semilinear wave equation. We study local analytic solutions around two fixed singularity points of this equation- ρ = 0 and ρ = 1. The movable singularities of local analytic solutions at the origin will be connected with those of the Lane-Emden equation. The function describing approximately their position on the complex plane will be derived. For ρ > 1 some topological considerations...
On nonlinear Schrödinger equations
On nontrivial solutions of a semilinear wave equation
On nonviscous compressible fluids in a time-dependent domain
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 periodic solutions of some equations of mathematical physics
On perturbed wave equations with time-dependent coefficients
On poles of scattering matrices for several convex bodies
On pseudosymmetric hyperbolic systems
On pseudosymmetric systems with one space variable
On reflection of shock front in multidimensional space
On second order discontinuous differential equations in Banach spaces.
On second order hyperbolic equation with two independent variables
On second order nonlinear equations with rectilinear characteristics.
On singular perturbations for quasilinear IBV problems
On smoothness of a fundamental solution to a second order hyperbolic equation.