On a class of evolution equations in Lipschitz subdomains of Riemannian manifolds

被引：0

作者：

de Andrade, Bruno ^{[1
]}

机构：

[1] Univ Fed Sergipe, Dept Matemat, Sao Cristovao, SE, Brazil

来源：

APPLICABLE ANALYSIS | 2024年

关键词：

Evolutionary integrodifferential equations; fractional kernels; Hodge-Laplacian; Lipschitz domains; FRACTIONAL DIFFERENTIAL-EQUATIONS; NAVIER-STOKES EQUATIONS; BOUNDARY-CONDITIONS; HODGE LAPLACIAN; CAUCHY-PROBLEMS;

D O I：

10.1080/00036811.2024.2426086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence, uniqueness, analyticity, and continuous dependence of mild solutions for a class of evolutionary integrodifferential equations with free boundary conditions on $ L<^>p $ Lp-spaces in Lipschitz subdomains of Riemannian manifolds. Our strategy is to use the Laplace transform theory to ensure the existence of an analytic resolvent to the Hodge-Laplacian in the space of all & ell;-differential forms with p-th power integrable coefficients.

引用

页数：13

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