论带动态边界条件的准线性双双曲方程的局部存在解和吹胀解

Q1 Mathematics Partial Differential Equations in Applied Mathematics Pub Date : 2024-09-16 DOI:10.1016/j.padiff.2024.100925

Begüm Çalışkan Desova , Mustafa Polat

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摘要

本论文旨在研究具有动态边界条件的准线性双双曲方程的局部解的存在性，并推导其炸毁结果。我们利用最大单调算子理论来证明解的局部好求性，并利用凹性方法来建立炸毁结果。

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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On the local existence and blow-up solutions to a quasi-linear bi-hyperbolic equation with dynamic boundary conditions

This note aims to study the existence of the local solutions and derive a blow-up result for a quasi-linear bi-hyperbolic equation with dynamic boundary conditions. We use the maximal monotone operator theory to demonstrate the solution’s local well-posedness, and a concavity method to establish the blow-up result.

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