Alvaro Humberto Salas

Sharp anisotropic Gevrey regularization and directional microlocal smoothing for dissipative–dispersive Fourier evolutions

Abstract We establish a sharp Fourier–Gevrey regularization theory for a broad class of nonautonomous dissipative–dispersive evolution equations on $$\mathbb {R}^n$$ R n . The dissipative symbol is allowed to have different fractional orders in different coordinate directions, wh...