BLOW UP AT INFINITY OF WEAK SOLUTIONS FOR A HIGHER-ORDER PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY
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Tarih
2021
Yazarlar
Dergi Başlığı
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Cilt Başlığı
Yayıncı
Gökhan ÇUVALCIOĞLU
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main goal of this work is to study the inital boundary value problem for a higher-order parabolic equation with logarithmic source term u_{t}+(-\Delta )^{m}u=uln (u). We obtain blow-up at infinity of weak solutions, by employing potential well technique. This improves and extends some previous studies.
Açıklama
Anahtar Kelimeler
Higher-order parabolic equation, Blow up, Logarithmic nonlinearity
Kaynak
Journal of Universal Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
4
Sayı
2