Damped DNLW: Difference between revisions
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<center><math>\Box u = u^2 u_t</math></center> | <center><math>\Box u = u^2 u_t</math></center> | ||
in three dimensions is known to be locally well-posed in any sub-critical regularity <math>s>1</math>, and has scattering in <math>H^3</math> [[Smh-p]]. It would be interesting to see whether one has local well-posedness in the critical energy regularity <math>H^1</math>. It is an example of a [[linear-derivative nonlinear wave | in three dimensions is known to be locally well-posed in any sub-critical regularity <math>s>1</math>, and has scattering in <math>H^3</math> [[Smh-p]]. It would be interesting to see whether one has local well-posedness in the critical energy regularity <math>H^1</math>. It is an example of a [[linear-derivative nonlinear wave equation]]. | ||
[[Category:Wave]] | [[Category:Wave]] | ||
[[Category:Equations]] | [[Category:Equations]] | ||
Latest revision as of 23:09, 14 August 2006
The damped DNLW
in three dimensions is known to be locally well-posed in any sub-critical regularity , and has scattering in Smh-p. It would be interesting to see whether one has local well-posedness in the critical energy regularity . It is an example of a linear-derivative nonlinear wave equation.
