Electrified thin films: Global existence of non-negative solutions
โ Scribed by C. Imbert; A. Mellet
- Book ID
- 116221082
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 235 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0294-1449
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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$. We show that solutions exist globally for 0<__p__โฉฝ1, while
This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con