Atıf İçin Kopyala
Polat N., Taskesen H.
FILOMAT, cilt.28, sa.5, ss.1073-1079, 2014 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
28
Sayı:
5
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Basım Tarihi:
2014
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Doi Numarası:
10.2298/fil1405073p
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Dergi Adı:
FILOMAT
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.1073-1079
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Anahtar Kelimeler:
Klein-Gordon equation, Potential well, Global existence, High energy initial data, TIME BLOW-UP, CAUCHY-PROBLEM, INSTABILITY
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Van Yüzüncü Yıl Üniversitesi Adresli:
Evet
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.