GLOBAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR HIGHER-ORDER PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY

被引：2

作者：

Comert, Tugrul ^{[1
]}

Piskin, Erhan ^{[1
]}

机构：

[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2022年 / 23卷 / 02期

关键词：

higher-order parabolic equation; global existence; logarithmic nonlinearity; BLOW-UP;

D O I：

10.18514/MMN.2022.3894

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the initial boundary value problem for a higher-order parabolic equation with logarithmic source term ut + (- increment )mu = ur-2uln |u| . By employing the potential wells technique we show the global existence of the weak solution. Also, we obtain the exponential decay for the weak solutions. 2010 Mathematics Subject Classification: 35B40; 35G31; 35K25

引用

页码：595 / 605

页数：11

共 50 条

[1] EXISTENCE AND DECAY OF SOLUTIONS FOR A HIGHER-ORDER VISCOELASTIC WAVE EQUATION WITH LOGARITHMIC NONLINEARITY
Piskin, Erhan
Irkil, Nazli
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2021, 70 (01): : 300 - 319
[2] Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity
Piskin, Erhan
Comert, Tugrul
[J]. ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2022, 15 (01): : 111 - 128
[3] GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR LOGARITHMIC HIGHER-ORDER PARABOLIC EQUATIONS
Ye, Yaojun
Li, Lanlan
[J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2021, 2021
[4] Exponential Decay of Global Solutions for Some Quasilinear Higher-order Wave Equation
Lin, Renbing
[J]. INDUSTRIAL INSTRUMENTATION AND CONTROL SYSTEMS II, PTS 1-3, 2013, 336-338 : 2233 - 2237
[5] A pseudo-parabolic equation with logarithmic nonlinearity: Global existence and blowup of solutions
Jayachandran, Sushmitha
Soundararajan, Gnanavel
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024,
[6] Global existence of solutions for a parabolic systems with logarithmic nonlinearity
Idrissi, Mustapha
Khouakhi, Moussa
Masmodi, Mohamed
Yazough, Chihab
[J]. JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2024, 10 (01) : 627 - 643
[7] Global Existence and Decay of Solutions for a Higher-Order Kirchhoff-Type Systems with Logarithmic Nonlinearities
Irkil, Nazli
Piskin, Erhan
[J]. QUAESTIONES MATHEMATICAE, 2022, 45 (04) : 523 - 546
[8] Global Existence of Weak Solutions to a Higher-Order Parabolic System
Liu, Aibo
Liu, Changchun
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (03) : 1237 - 1254
[9] Global Existence of Weak Solutions to a Higher-Order Parabolic System
Aibo Liu
Changchun Liu
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 1237 - 1254
[10] Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data
Caristi, G
Mitidieri, E
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 279 (02) : 710 - 722

← 1 2 3 4 5 →