𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Single point blow-up for a semilinear initial value problem

✍ Scribed by Fred B Weissler

Book ID
107792061
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
914 KB
Volume
55
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Single-point blow-up patterns for a nonl
Single-point blow-up patterns for a nonlinear parabolic equation
✍ Jong-Shenq Guo; Yung-Jen Lin Guo; Je-Chiang Tsai πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 175 KB

We study a nonlinear parabolic equation with a superlinear reaction term. By studying the backward self-similar solutions for this equation, we construct a ΓΏnite number of self-similar single-point blow-up patterns with di erent oscillations.

Blow-up of solution of an initial bounda
Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation
✍ Guowang Chen; Yanping Wang; Zhancai Zhao πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 321 KB

This paper gives the sufficient conditions of blow-up of the solution of a nonlinear damped hyperbolic equation with the initial boundary wlue conditions in finite time and proves the existence and uniqueness of the local generalized solution of this problem.