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Similarity stabilizes blow up |
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| Authors: | Steven Schochet |
| Institution: | School of Mathematical Sciences, Tel Aviv University, Ramat Aviv 69978, Israel |
| Abstract: | The blow-up of solutions to the PDE ψ(x)ut=∇·A(x)∇+b(x)]um is studied via energy methods. The key step is a similarity transformation of the original unstable equation to a nonlocal stable one. |
| Keywords: | Quasilinear parabolic partial differential equation Blow-up Similarity Energy estimates |
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