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 volume presents recent progress in the theory of nonlinear dispersive equations,
primarily the nonlinear Schrodinger (NLS) equation. The Cauchy problem for defocusing …

1. Fourier multiplier, function space [symbol]. 1.1. Schwartz space, tempered distribution,
Fourier transform. 1.2. Fourier multiplier on L [symbol]. 1.3. Dyadic decomposition, Besov …

By using the unit-cube decomposition to the frequency spaces, we study the Cauchy
problem for the nonlinear Schrödinger equation and the nonlinear Klein–Gordon equation …

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

By using the isometric decomposition to the frequency spaces, we will introduce a new class
of function spaces Ep, qλ, which is a subspace of Gevrey 1-class G1 (Rn)⊂ C∞(Rn) for λ> 0 …

These notes originate from a graduate course given at the University of Pisa during the
spring semester 2007. They were completed while the author was visiting the Centro di …

(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 …

Sufficient and necessary conditions for the embeddings between Besov spaces [Formula:
see text] and modulation spaces [Formula: see text] are obtained. Moreover, using the …