Lifespan of solutions for a class of fourth order parabolic equations involving the Hessian

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-07-31 DOI:10.1016/j.aml.2024.109253

Monica Marras

引用次数: 0

Abstract

This paper deals with blow-up solutions of a class of initial–boundary value problems for a fourth order parabolic equation involving the Hessian. A lower bound for the lifespan of such solutions is derived.

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一类涉及 Hessian 的四阶抛物方程的解的寿命

本文论述了一类涉及 Hessian 的四阶抛物方程初界值问题的炸裂解。推导出了此类解的寿命下限。

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

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.