The Lie-algebraic discrete approximation scheme for evolution equations with Dirichlet/Neumann data.
The lifespan of spherically symmetric solutions of the compressible Euler equations outside an impermeable sphere
The light in the neighborhood of a caustic
The limiting amplitude principle applied to the motion of floating bodies
The limiting equation for Neumann Laplacians on shrinking domains.
The linear symmetric systems associated with the modified Cherednik operators and applications
We introduce and study the linear symmetric systems associated with the modified Cherednik operators. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite propagation speed property of it.
The linearization principle for some evolution problems arising in chemical kinetics.
The linearized uniform asymptotic stability of evolution differential equations
The linear-quadratic optimal control problem for delay differential equations
In questo lavoro si considera il problema del controllo ottimo per un'equazione lineare con ritardo in uno spazio di Hilbert, con costo quadratico. Si dimostra che il problema della sintesi si traduce in una equazione di Riccati in uno opportuno spazio prodotto e si prova che tale equazione ammette un’unica soluzione.
The Lippman-Schwinger equation treated as a characteristic Cauchy problem
The local boundary regularity of the solution of the -equation
The local ill-posedness of the modified KdV equation
The local projection -discontinuous-Galerkin finite element method for scalar conservation laws
The local solution of a parabolic-elliptic equation with a nonlinear Neumann boundary condition
We investigate a parabolic-elliptic problem, where the time derivative is multiplied by a coefficient which may vanish on time-dependent spatial subdomains. The linear equation is supplemented by a nonlinear Neumann boundary condition with a locally defined, -bounded function . We prove the existence of a local weak solution to the problem by means of the Rothe method. A uniform a priori estimate for the Rothe approximations in , which is required by the local assumptions on , is derived by...
The local structure of Nodal set of solutions of Schrödinger equation on Riemannian 3-manifolds.
The logarithmic delay of KPP fronts in a periodic medium
We extend, to parabolic equations of the KPP type in periodic media, a result of Bramson which asserts that, in the case of a spatially homogeneous reaction rate, the time lag between the position of an initially compactly supported solution and that of a traveling wave grows logarithmically in time.
The logarithmic gradient of the kernel of the heat equation with drift on a Riemannian manifold.
The Logarithmic Hardy-Littlewood-Sobolev Inequlity and Extremals of Zeta Functions on Sn.
The long-time behaviour of the solutions to semilinear stochastic partial differential equations on the whole space
The Cauchy problem for a stochastic partial differential equation with a spatial correlated Gaussian noise is considered. The "drift" is continuous, one-sided linearily bounded and of at most polynomial growth while the "diffusion" is globally Lipschitz continuous. In the paper statements on existence and uniqueness of solutions, their pathwise spatial growth and on their ultimate boundedness as well as on asymptotical exponential stability in mean square in a certain Hilbert space of weighted functions...
The low energy expansion in nonrelativistic scattering theory