On the blowing up solutions of the 4-d general q-Kuramoto-Sivashinsky equation with exponentially "dominated" nonlinearity and singular weight

Let \(\Omega\) be a bounded domain in \(\mathbb{R}^4\) with smooth boundary and let \(x^{1}, x^{2}, \ldots, x^{m}\) be \(m\)-points in \(\Omega\). We are concerned with the problem \[\Delta^{2} u - H(x,u,D^{k}u) = \rho^{4}\prod_{i=1}^{n}|x-p_{i}|^{4\alpha_{i}}f(x)g(u),\] where the principal term is...

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Bibliographic Details
Main Authors: Sami Baraket, Safia Mahdaoui, Taieb Ouni
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2022-12-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/1/art/opuscula_math_4301.pdf