Existence, Decay, and Blow-up of Solutions for a Weighted -Biharmonic Equation with Nonlinear Damping and Source Terms

IF 1.9 3区数学 Q1 MATHEMATICS

Journal of Function Spaces Pub Date : 2024-03-07 DOI:10.1155/2024/5866792

Ayşe Fidan, Erhan Pişkin, Ercan Çelik

引用次数: 0

Abstract

In this paper, we consider the weighted -biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow-up of solutions in finite time.

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带有非线性阻尼和源项的加权毕谐方程的存在性、衰减和炸裂解

在本文中，我们考虑了带有非线性阻尼和源项的加权双谐波方程。我们证明了解的全局存在性。随后，利用中尾不等式确定了能量的衰减。最后，我们证明了有限时间内解的炸毁。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Function Spaces MATHEMATICS, APPLIEDMATHEMATICS -MATHEMATICS

CiteScore

4.10

自引率

10.50%

发文量

451

审稿时长

15 weeks

期刊介绍： Journal of Function Spaces (formerly titled Journal of Function Spaces and Applications) publishes papers on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines. As well as original research, Journal of Function Spaces also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.