Berlin: Springer, 2001. — 147 p. — (Lecture Notes in Mathematics
1756) — ISSN 0075-8434, 3-540-41833-4.
В монографии рассматриваются вопросы корректности задачи Коши и
устойчивости решений для уравнения Кортевега-де Фриза и нелинейного
уравнения Шрёдингера.
Evolutionary equations. Results on existence
The (generalized) Korteweg-de Vries equation (KdVE)
The nonlinear Schrodinger equation (NLSE)
On the blowing up of solutions Stationary problems
Existence of solutions. An ODE approach
Existence of solutions. A variational method
The concentration-compactness method of P.L. Lions
On basis properties of systems of solutions Stability of solutions
Stability of soliton-like solutions
Stability of kinks for the KdVE
Stability of solutions of the NLSE nonvanishing at infinity Invariant measures
On Gaussian measures in Hilbert spaces
An invariant measure for the NLSE
An infinite series of invariant measures for the KdVE
The (generalized) Korteweg-de Vries equation (KdVE)
The nonlinear Schrodinger equation (NLSE)
On the blowing up of solutions Stationary problems
Existence of solutions. An ODE approach
Existence of solutions. A variational method
The concentration-compactness method of P.L. Lions
On basis properties of systems of solutions Stability of solutions
Stability of soliton-like solutions
Stability of kinks for the KdVE
Stability of solutions of the NLSE nonvanishing at infinity Invariant measures
On Gaussian measures in Hilbert spaces
An invariant measure for the NLSE
An infinite series of invariant measures for the KdVE