Global Solutions for a Nonlocal Problem with Logarithmic Source Term

被引：0

作者：

Lapa, Eugenio Cabanillas ^{[1
]}

机构：

[1] FCM UNMSM, Inst Invest, Av Venezuela S-N, Lima, Peru

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2024年 / 21卷 / 03期

关键词：

Global solutions; Degenerate nonlocal problem; Asymptotic behavior; EXISTENCE; EQUATION; DECAY;

D O I：

10.22130/scma.2023.2001016.1307

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The current paper discusses the global existence and asymptotic behavior of solutions of the following new nonlocal problem utt - M (. O |.u|2 dx). u + dut = |u|.- 2 u log |u|, in Ox]0,8[, where M(s) = {a - bs, for s. [0, a b [, 0, for s. [ a b,+8[. If the initial data are appropriately small, we derive existence of global strong solutions and the exponential decay of the energy.

引用

页码：371 / 385

页数：16

共 28 条

[1]

Aassila M., 2001, Funkcial. Ekvac, V44, P309

[2]

Araruna F.D., 2018, Recent Advances in PDEs:Analysis, Numerics and Control, V17, P17

[3] INFLATIONARY MODELS WITH LOGARITHMIC POTENTIALS [J].

BARROW, JD ;

PARSONS, P .

PHYSICAL REVIEW D, 1995, 52 (10) :5576-5587

[4] One-dimensional Klein-Gordon equation with logarithmic nonlinearities [J].

Bartkowski, Konrad ;

Gorka, Przemyslaw .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (35)

[5] Global existence and energy decay of solutions for Kirchhoff-Carrier equations with weakly nonlinear dissipation [J].

Benaissa, A ;

Rahmani, L .

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2004, 11 (04) :547-574

[6] Note on Some Nonlinear Integral Inequalities and Applications to Differential Equations [J].

Boukerrioua, Khaled .

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011

[7] Polynomial Decay Rate for Kirchhoff Type in Viscoelasticity with Logarithmic Nonlinearity and Not Necessarily Decreasing Kernel [J].

Boulaaras, Salah ;

Draifia, Alaeddin ;

Alnegga, Mohammad .

SYMMETRY-BASEL, 2019, 11 (02)

[8]

Cordeiro S.M.S., 2021, Partial Differ. Equations Appl. Math., V3, DOI DOI 10.1016/J.PADIFF.2020.100018

[9] Q-balls and baryogenesis in the MSSM [J].

Enqvist, K ;

McDonald, J .

PHYSICS LETTERS B, 1998, 425 (3-4) :309-321

[10]

Ghisi M, 2004, ASYMPTOTIC ANAL, V40, P25

← 1 2 3 →