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math.AP2022
Failure of the Hopf-Oleinik lemma for a linear elliptic problem with singular convection of non-negative divergence
Lucio Boccardo, David Gómez-Castro, Jesús Ildefonso Díaz
In this paper we study existence, uniqueness, and integrability of solutions to the Dirichlet problem in a bounded dom…
math.AP2022
Finite time extinction for a critically damped Schr{ö}dinger equation with a sublinear nonlinearity
Pascal Bégout, Jesús Ildefonso Díaz
This paper completes some previous studies by several authors on the finite time extinction for nonlinear Schr{ö}dinger equation when the nonlinear damping term corresponds to the…