共查询到20条相似文献,搜索用时 46 毫秒
1.
Fernando Quirós Julio D. Rossi 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2004,55(2):357-362
We consider the heat equation in the half-line with
Dirichlet boundary data which blow up in finite time. Though the
blow-up set may be any interval [0,a],
depending on the Dirichlet data, we prove that the
effective
blow-up set, that is, the set of points
where the solution behaves like u(0,t), consists always only of the
origin.
As an application of our results we consider a system of two heat
equations with a nontrivial nonlinear flux coupling at the
boundary. We show that by prescribing the non-linearities the two
components may have different blow-up sets. However, the effective
blow-up sets do not depend on the coupling and coincide with the
origin for both components. 相似文献
2.
We study profiles of positive solutions for quasilinear elliptic boundary blow-up problems and Dirichlet problems with the
same equation:
- eDp u = f(x,u)inW, - \varepsilon \Delta _p u = f(x,u)in\Omega , 相似文献
3.
S. Poborchi 《Journal of Mathematical Sciences》2011,175(3):363-374
We consider the Dirichlet problem for the equation
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