Page 1 The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse Catherine
Sulem Pierre-Louis Sulem Springer Page 2 Applied Mathematical Sciences Volume 139 Editors …

This textbook introduces the well-posedness theory for initial-value problems of nonlinear,
dispersive partial differential equations, with special focus on two key models, the Korteweg …

This authoritative text studies pseudodifferential and Fourier integral operators in the
framework of time-frequency analysis, providing an elementary approach, along with …

In this paper we discuss the Cauchy problem for the derivative nonlinear Schrödinger
equation: i∂ t ψ+ 2iδ∂ x (|; ψ| 2 ψ)= 0, ψ (0, x)= ф (x), where δ≠ 0. Under an explicit …

Full article: STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH
COEFFICIENTS Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

We characterize the long‐time asymptotic behavior of the focusing nonlinear Schrödinger
(NLS) equation on the line with symmetric, nonzero boundary conditions at infinity by using …

In this article, we study the pointwise decay properties of solutions to the wave equation on a
class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the …

(1.1) with x∈ Rn, t∈ R with∇=(∂ x1,..,∂ xn) and summation convention. One may think of
the equation in (1.1) as a non-linear Schrödinger equation where the operator modeling the …

The initial-boundary value problem (ibvp) for the cubic nonlinear Schrödinger (NLS)
equation on the half-line with data in Sobolev spaces is analysed via the formula obtained …

In this article we study global-in-time Strichartz estimates for the Schrödinger evolution
corresponding to long-range perturbations of the Euclidean Laplacian. This is a natural …