Controllability of strongly degenerate parabolic problems with strongly singular potentials

We prove a null controllability result for a parabolic Dirichlet problem with non smooth coefficients in presence of strongly singular potentials and a coefficient degenerating at an interior point. We cover the case of weights falling out the class of Muckenhoupt functions, so that no Hardy-type in...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Fragnelli Genni
Mugnai Dimitri
Dokumentumtípus: Folyóirat
Megjelent: 2018
Sorozat:Electronic journal of qualitative theory of differential equations : special edition 3 No. 50
Kulcsszavak:Függvény, Matematikai modell
Online Access:http://acta.bibl.u-szeged.hu/55720
Leíró adatok
Tartalmi kivonat:We prove a null controllability result for a parabolic Dirichlet problem with non smooth coefficients in presence of strongly singular potentials and a coefficient degenerating at an interior point. We cover the case of weights falling out the class of Muckenhoupt functions, so that no Hardy-type inequality is available; for instance, we can consider Coulomb-type potentials. However, through a cut-off function method, we recover the desired controllability result.
Terjedelem/Fizikai jellemzők:1-11
ISSN:1417-3875