FREE BOUNDARY VALUE PROBLEMS FOR ABSTRACT ELLIPTIC EQUATIONS AND APPLICATIONS

被引：0
|
作者：
Shakhmurov, Veli b. [1 ,2 ,3 ]
机构：
[1] Antalya Bilim Univ, Dept Ind Engn, TR-07190 Dosemealti, Antalya, Turkiye
[2] Azerbaijan State Econ Univ, Ctr analyt informat resource, 194 M Mukhtarov, Baku AZ1001, Azerbaijan
[3] Western Caspian Univ, Phys & Tech Sci, 31 Istiglaliyyat St, Baku, Azerbaijan
来源：
MOSCOW MATHEMATICAL JOURNAL | 2024年 / 24卷 / 01期
关键词：
Free boundary value problems; differential-oper- ator equations; Banach-valued function spaces; operator-valued multipliers; interpolation of Banach spaces; semigroup of operators; FOURIER MULTIPLIER THEOREMS;
D O I：
10.17323/1609-4514-2024-24-1-63-89
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Free boundary value problem for abstract elliptic equations with variable coefficients is studied. The equations involve linear operators in Banach space E. The uniform maximal regularity properties and Fredholmness of this problem are obtained in E-valued Wo center dot lder spaces. It is proven that the corresponding differential operator is positive and is a generator of an analytic semigroup. In application, the maximal regularity properties of Cauchy problem for abstract parabolic equation and anisotropic elliptic equations are established.
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页码：63 / 89
页数：27
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