✦ LIBER ✦

Global solutions of the Laplace equation with a nonlinear dynamical boundary condition

✍ Scribed by Marek Fila; Pavol Quittner

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 112 KB
Volume: 20
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(199710)20:15<1325::aid-mma916>3.0.co;2-g

No coin nor oath required. For personal study only.

✦ Synopsis

We study the boundedness and a priori bounds of global solutions of the problem u"0 in ;(0, ¹ ), j S j R # j S j "h(u) on j ;(0, ¹ ), where is a bounded domain in 1,, is the outer normal on j and h is a superlinear function. As an application of our results we show the existence of sign-changing stationary solutions.

📜 SIMILAR VOLUMES

On the blow-up rate for the heat equatio

On the blow-up rate for the heat equation with a nonlinear boundary condition

✍ Miroslav Chlebík; Marek Fila 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 92 KB 👁 1 views

A solution method for two-dimensional po

A solution method for two-dimensional potential flow about bodies with smooth surfaces by direct use of the boundary integral equation

✍ Yang, S. A. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB 👁 2 views

This work presents a novel boundary integral method to treat the two-dimensional potential ¯ow due to a moving body with the Lyapunov surface. The singular integral equations are derived in singularity-free form by applying the Gauss ¯ux theorem and the property of the equipotential body. The modi®e