Global Existence of Small Data Solutions to the Semilinear Fractional Wave Equation

被引：14

作者：

D'Abbicco, Marcello ^{[1
]}

Ebert, Marcelo Rempel ^{[1
]}

Picon, Tiago ^{[1
]}

机构：

[1] Univ Sao Paulo, Dept Computacao & Matemat, FFCLRP, Ave Bandeirantes,3900 CEP, BR-14040901 Ribeirao Preto, SP, Brazil

来源：

NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS | 2017年

基金：

巴西圣保罗研究基金会;

关键词：

Critical exponent; Fractional partial differential equation; Global existence; Small data;

D O I：

10.1007/978-3-319-48812-7_59

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we find the critical exponent for the global existence of small data solutions to the semilinear fractional wave equation in low space dimension.

引用

页码：465 / 471

页数：7

共 8 条

[1] An equation whose Fujita critical exponent is not given by scaling
Cazenave, Thierry
Dickstein, Flavio
Weissler, Fred B.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (04) : 862 - 874
[2] The influence of a nonlinear memory on the damped wave equation
D'Abbicco, M.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 95 : 130 - 145
[3] A wave equation with structural damping and nonlinear memory
D'Abbicco, Marcello
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2014, 21 (05): : 751 - 773
[4] de Almeida MF, 2012, DIFFER INTEGRAL EQU, V25, P957
[5] Hirata H., 2002, Adv. Differ. Equ, V7, P217
[6] Podlubny I., 1999, Math. Sci. Eng
[7] Samko SG., 1987, Fractional Integrals and Derivatives, Theory and Applications
[8] Segal I. E., 1968, ANN SCI ECOLE NORM S, V1, P459, DOI DOI 10.24033/ASENS.1170

← 1 →