IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Regularity for the far field refractor problem
Autor/es:
C.GUTIERREZ Y F. TOURNIER
Lugar:
CABA
Reunión:
Congreso; UMA 2017; 2017
Institución organizadora:
UMA
Resumen:
We consider the near field refractor problem with bounded densities and natural convexity assumptions on the domain $Omega$ and the target set $Omega^{star}$ which are subsets of $S^{n-1}$. We prove $C^{1}$ regularity of generalized solutions in the sense of Alexandrov. We consider indexes of refraction $kappa$ both bigger and smaller than $1$.
