Exotic Blowup Solutions for the u(5) Focusing Wave Equation in R-3
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 451 - 501 |
Journal / Publication | Michigan Mathematical Journal |
Volume | 63 |
Issue number | 3 |
Publication status | Published - 2014 |
Link(s)
Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(d98e5543-3546-4d21-beaa-dae45290ddc1).html |
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Abstract
For the critical focusing wave equation rectangle u = u(5) on R3+1 in the radial case, we construct a family of blowup solutions that are obtained from the stationary solutions W(r) by means of a dynamical rescaling lambda(t)(1/2) W (lambda(t)r)+correction with lambda(t) - infinity as t - 0. The novelty here lies with the scaling law lambda(t) that eternally oscillates between various pure-power laws.
Citation Format(s)
Exotic Blowup Solutions for the u(5) Focusing Wave Equation in R-3. / Donninger, Roland; Huang, Min; Krieger, Joachim; Schlag, Wilhelm.
In: Michigan Mathematical Journal, Vol. 63, No. 3, 2014, p. 451 - 501.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review