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We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
Denote by $J$ the operator of coefficient stripping. We show that for any free convolution semigroup of measures $\nu_t$ with finite variance, applying a single stripping produces semicircular evoluti...
We consider the hyperbolic geometric flow $\frac{\partial^2 g(t)}{\partial t ^2} = −2Ric_g(t)$ introduced by Kong and Liu [KL]. When the Riemannian metric evolve, then so does its curvature. Usi...
In this paper, we extend extremality results for the variational inequality to a higher order evolution hemivariational inequality. More precisely, we give an existence theorem of solution for the hig...
In this paper, the controllability of semilinear evolution inclusions with nonlocal conditions in Banach spaces is investigated when the multivalued map has nonconvex values. The approach used here is...
Abstract: The matrix KdV equation with a negative dispersion term is considered in the right upper quarter--plane. The evolution law is derived for the Weyl function of a corresponding auxiliary linea...
Abstract: We study spacelike hypersurfaces in anti-De Sitter spacetime that evolve by the Lagrangian angle of their Gau\ss\ maps.
Abstract: We study two simple rules on finite graphs for the death-birth updating and the imitation updating discovered by Ohtsuki, Hauert, Lieberman, and Nowak [\emph{Nature} {\bf 441} (2006) 502-505...
Abstract: The hierarchies of evolution equations of classical many-particle systems are formulated as evolution equations in functional derivatives. In particular the BBGKY hierarchy for marginal dist...
Abstract: In recent years, important progress has been made in the field of two-dimensional statistical physics. One of the most striking achievement is probably the proof of conformal invariance of p...
With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation of variable...
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits from stab...
A. de Sole, V. G. Kac, and M. Wakimoto have recently introduced a new family of compatible Hamiltonian operators of the form H(N,0) = D2 ◦ ((1/u)◦D)2n ◦D, where N = 2n+3, n = 0, 1, ...
A. de Sole, V. G. Kac, and M. Wakimoto have recently introduced a new family of compatible Hamiltonian operators of the form H(N,0) = D2 ◦ ((1/u)◦D)2n ◦D, where N = 2n+3, n = 0, 1, ...
Large time behavior of solutions to abstract differential equations is studied.

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