RADON MEASURE-VALUED SOLUTIONS OF UNSTEADY FILTRATION EQUATIONS

被引：0

作者：

Porzio, Maria Michaela ^{[1
]}

Smarrazzo, Flavia ^{[2
]}

Tesei, Alberto ^{[3
,4
]}

机构：

[1] Univ Sapienza Roma, Dipartimento Pianificaz Design Tecnol Architettur, Via Flaminia 70, I-00196 Rome, Italy

[2] Univ Campus Biomed Roma, Via Alvaro del Portillo 21, I-00128 Rome, Italy

[3] Univ Sapienza Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 5, I-00185 Rome, Italy

[4] CNR, Ist Applicaz Calcolo M Picone, Rome, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年

关键词：

Radon measure-valued solutions; compatibility conditions; well-posedness; space dependence;

D O I：

10.3934/dcds.2022040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Radon measure-valued solutions of a Cauchy-Dirichlet problem in one space dimension that describes nonlinear convection-diffusion phenomena in heterogeneous media. Well-posedness results are proven, which extend those previously known for the space homogeneous case.

引用

页码：1595 / 1624

页数：30

共 25 条

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[23] Periodic Solutions of Third-order Differential Equations with Finite Delay in Vector-valued Functional Spaces [J].

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Acta Mathematica Sinica, English Series, 2019, 35 :105-122

[24] Periodic solutions of third-order integro-differential equations in vector-valued functional spaces [J].

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JOURNAL OF EVOLUTION EQUATIONS, 2017, 17 (02) :749-780

[25] Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces [J].

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PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2023,

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