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Nonlinear mapping theory and the continuation of solutions of equations under homotopy

✍ Scribed by D.J. Downing


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
296 KB
Volume
4
Category
Article
ISSN
0362-546X

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Continuation of blowup solutions of nonl
✍ Victor A. Galaktionov; Juan L. Vazquez πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 394 KB πŸ‘ 2 views

The possible continuation of solutions of the nonlinear heat equation in after the blowup time is studied and the different continuation modes are discussed in terms of the exponents m and p. Thus, for m + p ≀ 2 we find a phenomenon of nontrivial continuation where the region {x : u(x, t) = ∞} is b