portada Inhomogeneous Nonlinear Schrödinger Equations (en Inglés)

Inhomogeneous Nonlinear Schrödinger Equations (en Inglés)

Formato

Libro Físico

Autor

Jinmyong An

Jinmyong Kim

Editorial

LAP Lambert Academic Publishing

Idioma

Inglés

N° páginas

168

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x1 cm

Peso

0.25 kg.

ISBN13

9786204983158

Categorías

Matemáticas

Inhomogeneous Nonlinear Schrödinger Equations (en Inglés)

Jinmyong An (Autor) · Jinmyong Kim (Autor) · LAP Lambert Academic Publishing · Tapa Blanda

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Reseña del libro "Inhomogeneous Nonlinear Schrödinger Equations (en Inglés)"

The inhomogeneous nonlinear Schrödinger equation appears in a variety of physical settings, for example, in nonlinear optical systems with spatially dependent interactions. The wide range of applications and intriguing analytical difficulties have led to an extensive mathematical study of the inhomogeneous nonlinear Schrödinger equation in recent years. The purpose of this book is to give an introduction to the recent developments in the study about the local and global well-posedness as well as scattering and blow-up for the inhomogeneous nonlinear Schrödinger equation. First, we establish the local well-posedness as well as the small data global well-posedness for the inhomogeneous nonlinear Schrödinger equation in the fractional Sobolev spaces. Second, we study the continuous dependence for the inhomogeneous nonlinear Schrödinger equation in the standard sense in the fractional Sobolev spaces. Finally, the global existence and blow-up results in the energy space for the inhomogeneous nonlinear Schrödinger equation with inverse-square potential are presented.