BLOW UP AT INFINITY OF WEAK SOLUTIONS FOR A HIGHER-ORDER PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY

[ X ]

Tarih

2021

Dergi Başlığı

Dergi ISSN

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

Künye