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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2004-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7475/4299 |