Septic NLW/NLKG on R2: Difference between revisions
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* Scaling is <math>s_c = 2/3</math>. | * Scaling is <math>s_c = 2/3</math>. | ||
* LWP for <math>s \geq s_c</math> by Strichartz estimates [[ | * LWP for <math>s \geq s_c</math> by Strichartz estimates ([[LbSo1995]]) | ||
** For <math>s<s_c</math> one has instantaneous blowup in the focusing case, and unbounded growth of <math>H^s</math> norms in the defocusing case [CtCoTa-p2] | ** For <math>s<s_c</math> one has instantaneous blowup in the focusing case, and unbounded growth of <math>H^s</math> norms in the defocusing case ([[CtCoTa-p2]]) | ||
* GWP for <math>s > 6/7</math> in the defocusing case [Fo-p] | * GWP for <math>s > 6/7</math> in the defocusing case ([[Fo-p]]) | ||
** For <math>s \geq 1</math> this follows from energy conservation. | ** For <math>s \geq 1</math> this follows from energy conservation. | ||
[[Category:Wave]] | |||
[[Category:Equations]] | |||
