Nonexistence of Global Solutions to an Elliptic Equation with a Dynamical Boundary Condition

Nonexistence of Global Solutions to an Elliptic Equation with a Dynamical Boundary Condition

We consider the equation Delta u = 0 posed in Q := (0;+infty)imes Omega, Omega:= { x=(x',x_N)/ x'in R^{N-1}, x_N >0}, with the dynamical boundary conditionB(t,x',0)u_{tt} + A(t,x',0)u_t - u_{x_N} geq D(t, x',0)|u|^q on Sigma := (0,+infty) imes R^{N-1} imes {0} and give c...

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Bibliographic Details
Main Authors: Stanislav I. POHOZAEV, Eric NABANA, Mokhtar KIRANE
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2004-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
non-existence
elliptic equation
dynamical boundary condition.
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7475/4299

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