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 journalpeer-review

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Author(s)

  • Roland Donninger
  • Min Huang
  • Joachim Krieger
  • Wilhelm Schlag

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)451 - 501
Journal / PublicationMichigan Mathematical Journal
Volume63
Issue number3
Publication statusPublished - 2014

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 journalpeer-review