๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Non-existence of Global Solutions to Systems of Semi-linear Parabolic Equations

โœ Scribed by L. Gang; B.D. Sleeman

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
506 KB
Volume
104
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Existence and non-existence of global so
Existence and non-existence of global solutions for a class of non-linear wave equations
โœ Chen Guowang; Yang Zhijian ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 135 KB ๐Ÿ‘ 2 views

This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con

Global Existence of Solutions of Volterr
Global Existence of Solutions of Volterra Integrodifferential Equations of Parabolic Type
โœ G. Gripenberg ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 285 KB

Sufficient conditions for the global existence of a strong solution of the equation \(u_{t}(t, x)=\int_{0}^{i} k(t-s) \sigma\left(u_{x}(s, x)\right)_{x} d s+f(t, x)\) are given. The kernel \(k\) satisfies \(9 \hat{k}(z) \geqslant\) \(\kappa|\exists \hat{k}(z)|\) and \(\sigma\) is increasing with \(\

Existence and non-existence of global so
Existence and non-existence of global solutions of a non-local wave equation
โœ Azmy S. Ackleh; Keng Deng ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 87 KB ๐Ÿ‘ 1 views

## Abstract We study the initial value problem where $ \|u(\cdot,t)\| = \int \nolimits ^ {\infty} \_ {- \infty}\varphi(x) | u( x,t ) | {\rm{ d }} x$ with ฯ†(__x__)โฉพ0 and $ \int \nolimits^{\infty} \_ {-\infty} \varphi (x) \, {\rm{d}}x\,= 1$. We show that solutions exist globally for 0<__p__โฉฝ1, while