The phase space of an initial-boundary value problem for the Hoff equation

被引：13

作者：

Sviridyuk, GA ^{[1
]}

Kazak, VO ^{[1
]}

机构：

[1] Chelyabinsk State Univ, Chelyabinsk, Russia

来源：

MATHEMATICAL NOTES | 2002年 / 71卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

Hoff equation; phase space; Banach manifold;

D O I：

10.1023/A:1013919500605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Hoff equation (gimel + Delta)u(t) = -alphau - betau(3) describes the H-beam buckling dynamics. We show that the phase space of the Hoff equation is a simple C-infinity Banach manifold modeled on a subspace complementary to the kernel ker(gimel + Delta).

引用

页码：262 / 266

页数：5

共 50 条

[1] The Phase Space of an Initial-Boundary Value Problem for the Hoff Equation
G. A. Sviridyuk
V. O. Kazak
[J]. Mathematical Notes, 2002, 71 : 262 - 266
[2] The phase space of the initial-boundary value problem for the Oskolkov system
Sviridyuk, GA
Yakupov, MM
[J]. DIFFERENTIAL EQUATIONS, 1996, 32 (11) : 1535 - 1540
[3] Stability of initial-boundary value problem for diffusion equation on a half space
Kang, DongSeung
Kim, Hoewoon
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2022, 33 (10) : 799 - 809
[4] Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space
Liu, Jianli
Zhou, Yi
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (04)
[5] The first initial-boundary value problem for the space charge stratification equation in semiconductors
A. B. Al’shin
P. A. Chubenko
[J]. Moscow University Physics Bulletin, 2007, 62 (6) : 343 - 347
[6] On the initial-boundary value problem for nonlinear Schrodinger equation
Kaikina, EI
Naumkin, PI
Shishmarev, IA
[J]. DOKLADY AKADEMII NAUK, 2000, 370 (01) : 31 - 33
[7] On the Initial-Boundary Value Problem for the Linearized Boussinesq Equation
Himonas, A. Alexandrou
Mantzavinos, Dionyssios
[J]. STUDIES IN APPLIED MATHEMATICS, 2015, 134 (01) : 62 - 100
[8] Solvability of the initial-boundary value problem for an integrodifferential equation
I. V. Prokhorov
[J]. Siberian Mathematical Journal, 2012, 53 : 301 - 309
[9] Initial-Boundary Value Problem for the Reynolds Lubrication Equation
S. V. Lupulyak
Yu. K. Shinder
[J]. Journal of Mathematical Sciences, 2004, 124 (3) : 4980 - 4989
[10] Solvability of the initial-boundary value problem for an integrodifferential equation
Prokhorov, I. V.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2012, 53 (02) : 301 - 309

← 1 2 3 4 5 →