Self-adjoint sub-classes of third and fourth-order evolution equations

被引：26

作者：

Freire, Igor Leite ^{[1
]}

机构：

[1] Univ Fed Abc, Ctr Matemat Computacao Cognicao, BR-09210170 Santo Andre, SP, Brazil

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 22期

关键词：

Evolution equations; Self-adjoint equation; Conservation laws for evolution equations; THIN-FILM EQUATIONS; CONSERVATION-LAWS; SYMMETRIES;

D O I：

10.1016/j.amc.2011.04.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work a class of self-adjoint quasilinear third-order evolution equations is determined. Some conservation laws of them are established and a generalization on a self-adjoint class of fourth-order evolution equations is presented. (C) 2011 Elsevier Inc. All rights reserved.

引用

下载

页码：9467 / 9473

页数：7

共 50 条

[11] EVENTUAL DISCONJUGACY OF SELF-ADJOINT FOURTH ORDER LINEAR DIFFERENTIAL EQUATIONS
GUSTAFSON, GB
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 35 (01) : 187 - +
[12] On self-adjoint operators generated by the fourth-order Laguerre type differential expression
Anderson, Drew
Lang, Alan
Laurel, Marcus
Matter, Elizabeth
Quintero-Roba, Alejandro
da Silva, Pedro Takemura Feitosa
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 537 (02)
[13] Fourth-order recursion operators for third-order evolution equations
Marianna Euler
Journal of Nonlinear Mathematical Physics, 2008, 15 : 147 - 151
[14] Fourth-order recursion operators for third-order evolution equations
Euler, Marianna
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2008, 15 (02) : 147 - 151
[15] Conservation laws for a class of quasi self-adjoint third order equations
Gandarias, M. L.
Bruzon, M. S.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (02) : 668 - 678
[16] Eigenvalues of Fourth-Order Boundary Value Problems with Self-Adjoint Canonical Boundary Conditions
Xiao-xia Lv
Ji-jun Ao
Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 833 - 846
[17] Eigenvalues of Fourth-Order Boundary Value Problems with Self-Adjoint Canonical Boundary Conditions
Lv, Xiao-xia
Ao, Ji-jun
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (01) : 833 - 846
[18] On the nonlinear self-adjointness of a class of fourth-order evolution equations
Tracina, R.
Bruzon, M. S.
Gandarias, M. L.
APPLIED MATHEMATICS AND COMPUTATION, 2016, 275 : 299 - 304
[19] Conjugacy of Self-Adjoint Difference Equations of Even Order
Hasil, Petr
ABSTRACT AND APPLIED ANALYSIS, 2011,
[20] Degenerate Self-adjoint Evolution Equations on the Unit Interval
M. Campiti
G. Metafune
D. Pallara
Semigroup Forum, 1998, 57 : 1 - 36

← 1 2 3 4 5 →