๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Global existence, nonexistence and asymptotic behavior of solutions for the Cauchy problem of semilinear heat equations

โœ Scribed by Yacheng Liu; Runzhang Xu; Tao Yu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
414 KB
Volume
68
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Existence and nonexistence of global sol
โœ Changming Song; Zhijian Yang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 207 KB ๐Ÿ‘ 1 views

The paper studies the existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation arising in the model in variational form for the neo-Hookean elastomer rod where k 1 ,k 2 > 0 are real numbers, g(s) is a given nonlinear function. When g(s) = s n (where n 2 is

Existence and Asymptotic-Behavior of Nod
โœ R. Kajikiya ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 533 KB

The elliptic equation \(\Delta u+f(u)=0\) in \(R^{n}\) is discussed in the case where \(f(u)=\) \(|u|^{n} \quad u(|u| \geqslant 1),=|u|^{4} \quad{ }^{1} u(|u|<1), 10\). It is further proved that for any \(k \geqslant 0\) there exist at least three radially symmetric solutions which have exactly \(k\

Asymptotic behavior of solutions of the
โœ G.M. Henkin; A.A. Shananin ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 309 KB

We show that the solutions of the initial value problems for a large class of Burgers type equations approach with time to the sum of appropriately shifted wave-trains and of diffusion waves.