Localization of solutions of exterior domain problems for the porous media equation with radial symmetry

Gilding, B.H. and Goncerzewicz, J. (2000) Localization of solutions of exterior domain problems for the porous media equation with radial symmetry. SIAM Joumal on Mathematical Analysis, 31 (4). pp. 862-893. ISSN 0036-1410

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Abstract:	The paper concerns the radially symmetric Cauchy–Dirichlet and Cauchy–Neumann problems for the porous media equation in the domain comprising the spatial variable and the temporal variable $t$ in the exterior of the unit ball in $\mathbb{R}^n$ and the bounded interval $(0,T)$ , respectively. The subject of study is the behavior of solutions when the initial data are compactly supported and the boundary data become unbounded as $t\uparrow T$ . Necessary and sufficient conditions for localization, estimates of the size of the blow-up set, and a number of allied results are obtained.
Item Type:	Article
Copyright:	© 2000 SIAM
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematics of Computational Science (MaCS)
Link to this item:	http://purl.utwente.nl/publications/73713
Official URL:	http://dx.doi.org/10.1137/S0036141098344506
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Metis ID: 141110