On the Existence of Global Solutions for a Nonlinear Klein-Gordon Equation

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Tarih

2014

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

The aim of this work is to study the global existence of solutions for the Cauchy problem of a Klein-Gordon equation with high energy initial data. The proof relies on constructing a new functional, which includes both the initial displacement and the initial velocity: with sign preserving property of the new functional we show the existence of global weak solutions.

Açıklama

Anahtar Kelimeler

Klein-Gordon Equation, Potential Well, Global Existence, High Energy Initial Data

Kaynak

Filomat

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

28

Sayı

5

Künye