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

引用

页数：17

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