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

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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)
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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