𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonexistence for the Laplace equation with a dynamical boundary condition of fractional type

✍ Scribed by Mokhtar Kirane; Nasser-Eddine Tatar

Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
160 KB
Volume
48
Category
Article
ISSN
0037-4466

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Global solutions of the Laplace equation
Global solutions of the Laplace equation with a nonlinear dynamical boundary condition
✍ Marek Fila; Pavol Quittner πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 112 KB πŸ‘ 2 views

We study the boundedness and a priori bounds of global solutions of the problem u"0 in ;(0, ΒΉ ), j S j R # j S j "h(u) on j ;(0, ΒΉ ), 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 sta

A Strong Maximum Principle for the Lapla
A Strong Maximum Principle for the Laplace Equation with Mixed Boundary Condition
✍ Juan DΓ‘vila πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 121 KB

In this work we present a comparison result for two solutions of the Laplace equation in a smooth bounded domain, satisfying the same mixed boundary condition (zero Dirichlet data on part of the boundary and zero Neumann data on the rest). The result is in some sense a generalization of the Hopf lem

Nonexistence of Global Solutions of Some
Nonexistence of Global Solutions of Some Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions
✍ M. Kirane; S. Kouachi; N. Tatar πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 266 KB

In this paper the non-existence of global solutions of two fourth-order hyperbolic equations with dynamic boundary conditions is considered. The method of proof makes use of the generalized convexity method due to LADYZHENSKAYA and KALANTAROV [4].