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Fourth-order operators with unbounded coefficients

IF 1 3区 数学 Q1 MATHEMATICS
Communications on Pure and Applied Analysis Pub Date : 2024-01-25 DOI:10.3934/cpaa.2024020
Federica Gregorio, Chiara Spina, C. Tacelli
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引用次数: 0

Abstract

We prove that operators of the form $A=-a(x)^2\Delta^{2}$, with $|D a(x)|\leq c a(x)^\frac{1}{2}$, generate analytic semigroups in $L^p(\mathbb{R}^N)$ for $1
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来源期刊
Communications on Pure and Applied Analysis
Communications on Pure and Applied Analysis 数学-数学
CiteScore
1.90
自引率
10.00%
发文量
124
审稿时长
4-8 weeks
期刊介绍： CPAA publishes original research papers of the highest quality in all the major areas of analysis and its applications, with a central theme on theoretical and numeric differential equations. Invited expository articles are also published from time to time. It is edited by a group of energetic leaders to guarantee the journal''s highest standard and closest link to the scientific communities.
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