On analyticity in homogeneous first order partial differential equations
On analyticity of Ornstein-Uhlenbeck semigroups
Let be a transition semigroup of the Hilbert space-valued nonsymmetric Ornstein-Uhlenbeck process and let denote its Gaussian invariant measure. We show that the semigroup is analytic in if and only if its generator is variational. In particular, we show that the transition semigroup of a finite dimensional Ornstein-Uhlenbeck process is analytic if and only if the Wiener process is nondegenerate.
On anisotropic, dispersive and dissipative wave equations
On annealed elliptic Green's function estimates
We consider a random, uniformly elliptic coefficient field on the lattice . The distribution of the coefficient field is assumed to be stationary. Delmotte and Deuschel showed that the gradient and second mixed derivative of the parabolic Green’s function satisfy optimal annealed estimates which are and , respectively, in probability, i.e., they obtained bounds on and . In particular, the elliptic Green’s function satisfies optimal annealed bounds. In their recent work, the authors...
On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
On approximate controllability of the Stokes system
On approximate Euler differential equations.
On approximation of solutions to some -dimensional integrable systems by Bäcklund transformations.
On approximation of the Neumann problem by the penalty method
We prove that penalization of constraints occuring in the linear elliptic Neumann problem yields directly the exact solution for an arbitrary set of penalty parameters. In this case there is a continuum of Lagrange's multipliers. The proposed penalty method is applied to calculate the magnetic field in the window of a transformer.
On asymptotic behavior of global solutions for hyperbolic hemivariational inequalities.
On Asymptotic Behavior of Solution for the Navier-Stokes Equations in a Time Dependent Domain.
On asymptotic behavior of solutions of the Dirichlet problem in half-space for linear and quasi-linear elliptic equations.
On asymptotic behaviour of solutions of functional differential equations
On asymptotic behaviour of the dynamical systems generated by von Foerster-Lasota equations
On asymptotic series of symbols and of general pseudo-differential operators
On asymptotic stability in energy space of ground states of NLS in 2D
On asymptotic stability of solitary waves for nonlinear Schrödinger equations
On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity
Boundary value problems for the system of linear elasticity with rapidly alternating boundary conditions are studied and asymptotic behavior of solutions is considered when a small parameter, which defines the oscillation of the boundary conditions, tends to zero. Estimates for the difference between such solutions and solutions of the limit problem are given.
On axially symmetric flows in .
On backward-time behavior of the solutions to the 2-D space periodic Navier–Stokes equations