= Vector field method for wave equations
The vector field method commutes a <wave equation> with spacetime symmetry generators, estimates the resulting <commuted wave energies>, and converts weighted <L2 norms> to pointwise decay using a <Klainerman-Sobolev inequality>. The <commutation vector fields for the wave equation> include translations, rotations, <Lorentz boost vector fields> and the <scaling vector field>. It is useful for <almost global existence for wave equations> and for small-data global existence under the <classical null condition for wave equations>.
Back to article page
