Second order linear parabolic equations in uniform spaces in \({\varvec{\mathbb {R}^{N}}}\)

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• 作者：Carlos Quesada ; Aníbal Rodríguez-Bernal
• 关键词：Parabolic equations ; Analytic semigroups ; Perturbation ; Smoothing ; Uniform spaces
• 刊名：Revista Matemática Complutense
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：30
• 期：1
• 页码：63-78
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Algebra; Analysis; Applications of Mathematics; Geometry; Topology;
• 出版者：Springer Milan
• ISSN：1988-2807
• 卷排序：30

文摘

We solve second order parabolic equations with nonsmooth coefficients and initial data in suitable uniform spaces. We also show the smoothing effect of the corresponding analytic semigroup depending on the integrability properties of the coefficients. Robustness with respect to perturbations in the coefficients is also obtained.