WELL-POSEDNESS OF DEGENERATE INTEGRO-DIFFERENTIAL EQUATIONS IN FUNCTION SPACES

被引：0

作者：

Aparicio, Rafael ^{[1
]}

Keyantuo, Valentin ^{[2
]}

机构：

[1] Univ Puerto Rico, Stat Inst & Computerized Informat Syst, Fac Business Adm, Rio Piedras Campus,15 Ave Unviversidad Ste 1501, San Juan, PR 00925 USA

[2] Univ Puerto Rico, Dept Math, Fac Nat Sci, Rio Piedras Campus,17 Ave Univ Ste 1701, San Juan, PR 00925 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Well-posedness; maximal regularity; R-boundedness; operator-valued Fourier multiplier; Lebesgue-Bochner spaces; Besov spaces; Triebel-Lizorkin spaces; Holder spaces; FOURIER MULTIPLIER THEOREMS; PERIODIC-SOLUTIONS; MAXIMAL REGULARITY; INFINITE DELAY; DIFFERENTIAL-EQUATIONS; BESOV-SPACES; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use operator-valued Fourier multipliers to obtain characterizations for well-posedness of a large class of degenerate integro-differential equations of second order in time in Banach spaces. We treat periodic vector valued Lebesgue, Besov and Trieblel-Lizorkin spaces. We observe that in the Besov space context, the results are applicable to the more familiar scale of periodic vector-valued Holder spaces. The equation under consideration are important in several applied problems in physics and material science, in particular for phenomena where memory effects are important. Several examples are presented to illustrate the results.

引用

页数：31

共 57 条

[1]

Alabau-Boussouira F., 2008, J DIFFER EQUATIONS, V25, P1342

[2] On the Strong Solvability of the Navier-Stokes Equations [J].