Scattering of Solutions of Nonlinear Klein-Gordon Equations in Higher Space Dimensions

Masayoshi Tsutsumi, Nakao Hayashi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The scattering theory for nonlinear Klein–Gordon equations has been developed by many authors (such as, Segal, Strauss, Reed, and others). This chapter aims to extend recent results of Strauss on low energy scattering. In general useful methods by which one attacks nonlinear hyperbolic problem are energy estimates, Lp–Lq (decay) estimates for linear problem, and estimates of nonlinearity in various function spaces (e.g., Sobolev spaces, Besov spaces). The methods employed in this chapter are the same. The difficulty is the suitable choice of the spaces in which solutions of Nonlinear Klein-Gordon Equation (NLKG) lie.

Original languageEnglish
Pages (from-to)221-239
Number of pages19
JournalNorth-Holland Mathematics Studies
Volume98
Issue numberC
DOIs
Publication statusPublished - 1984 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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