Nonlinear Small Data Scattering for the Wave and Klein-Gordon Equation.
On a Class of Time Inhomogeneous Nonsingular Flows and Schrödinger Operators.
On -differentiable Fredholm operators of nonstationary initial-boundary value problems
We are dealing with Dirichlet, Neumann and Newton type initial-boundary value problems for a general second order nonlinear evolution equation. Using the Fredholm operator theory we establish some sufficient conditions for Fréchet differentiability of associated operators to the given problems. With help of these results the generic properties, existence and continuous dependency of solutions for initial-boundary value problems are studied.
On the asymptotic behaviour of a solution of a differential equation in a Hilbert space
Smoothing effect and regularity for evolution integrodifferential systems
Some remarks on time-dependent evolution systems in the hyperbolic case
Sulle equazioni paraboliche semilineari di ordine arbitrario in uno spazio di Banach
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.
The diffeomorphism group of a Lie foliation
We describe explicitly the group of transverse diffeomorphisms of several types of minimal linear foliations on the torus , . We show in particular that non-quadratic foliations are rigid, in the sense that their only transverse diffeomorphisms are and translations. The description derives from a general formula valid for the group of transverse diffeomorphisms of any minimal Lie foliation on a compact manifold. Our results generalize those of P. Donato and P. Iglesias for , P. Iglesias and...
The H-theorem for Boltzmann type equations.
Variétés inertielles dans le cas non auto-adjoint. Applications aux variétés lentes
Will theory unify mathematics and physics ?
Аппроксимация аттракторов эволюционных уравнений с помощью аттракторов конечных систем
Гармонический анализ в шварцевских пространствах распределений и некоторые приложения к неклассическим задачам математической физики.
О соответствии Беклунда