Can I read Nonexistence of Global Solutions for an Inhomogeneous Pseudo-parabolic Equation on EtoBox?

Nonexistence of Global Solutions for an Inhomogeneous Pseudo-parabolic Equation by Meiirkhan B. Borikhanov; Berikbol T. Torebek is a Mathematics article available to read on EtoBox.

What is Nonexistence of Global Solutions for an Inhomogeneous Pseudo-parabolic Equation about?

In the present paper, we study an inhomogeneous pseudo-parabolic equation with nonlocal nonlinearitywhere p > 1, k ≥ 0, ω(x) ̸ = 0 and I γ 0+ is the left Riemann-Liouville fractional integral of order γ ∈ (0, 1). Based on the test function method, we have proved the blow-up result for the critical case γ = 0, p = pc for N ≥ 3, which answers an open question posed by Zhou (2020), and in particular when k = 0 it improves the result obtained by . An interesting fact is that in the case γ > 0, the problem does not admit global solutions for any p > 1 and ∫ R N ω(x)dx > 0.

Who reads Nonexistence of Global Solutions for an Inhomogeneous Pseudo-parabolic Equation?

Author

Meiirkhan B. Borikhanov; Berikbol T. Torebek

Publisher

Elsevier BV

Published

2022

Language

EN

Field

Mathematics (Physical Sciences)