A Higher-Order Non-autonomous Semilinear Parabolic Equation

被引：0
|
作者：
Belluzi, Maykel [1 ]
Bezerra, Flank D. M. [2 ]
Nascimento, Marcelo J. D. [3 ]
Santos, Lucas A. [4 ]
机构：
[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Sao Carlos, SP, Brazil
[2] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB, Brazil
[3] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
[4] Inst Fed Paraiba, BR-58015435 Joao Pessoa, PB, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2024年 / 55卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Balakrishnan formula; Fractional approximations; Fractional power; nth order evolution equation; Linear semigroup; GIBSON-THOMPSON EQUATION; INTEGRATED SEMIGROUPS; WELL-POSEDNESS; BEHAVIOR;
D O I：
10.1007/s00574-023-00381-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study results of well-posedness and regularity of higher order in time abstract non-autonomous semilinear Cauchy problems associated with Newton's binomial theorem and the theory of sectorial operators. Our approach to parabolic problems of arbitrarily order n apparently has never been addressed earlier in the existing literature. Also, we present applications to evolutionary equations involving the fractional Laplacian in bounded smooth domains of R-N
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页数：17
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