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/lp/springer_journal/a-sufficient-condition-for-a-blow-up-in-the-space-of-absolutely-69nlJygHsi
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BLOW UP FOR u, -b,.u = g(u) REVISITED
- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by Springer Science+Business Media New York
- Subject
- Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics
- ISSN
- 0095-4616
- eISSN
- 1432-0606
- DOI
- 10.1007/s00245-015-9297-1
- Publisher site
- See Article on Publisher Site
Abstract
Given an open bounded smooth set $$\Omega $$ Ω in $$\mathrm{I}\!\mathrm{R}^N,\ N\geqslant 3$$ I R N , N ⩾ 3 , we provide a sufficient condition on the data $$f$$ f integrable with respect to the distance $$\delta $$ δ , to ensure the blow-up of the gradient of the very weak solution for the Dirichlet equation.
Journal
Applied Mathematics and Optimization – Springer Journals
Published: Feb 1, 2016