Opuscula Math. 39, no. 2 (2019), 207-225
https://doi.org/10.7494/OpMath.2019.39.2.207

Opuscula Mathematica

# Controllability of degenerate and singular parabolic problems: the double strong case with Neumann boundary conditions

Genni Fragnelli
Dimitri Mugnai

Abstract. We prove a null controllability result for a parabolic problem with Neumann boundary conditions. We consider non smooth coefficients in presence of a strongly singular potential and a strongly degenerate coefficient, both vanishing at an interior point. This paper concludes the study of the Neumann case.

Keywords: strongly singular/degenerate equations, non smooth coefficients, null controllability.

Mathematics Subject Classification: 35Q93, 93B05, 34H05.

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• Communicated by Giovanni Molica Bisci.
• Received: 2018-06-25.
• Accepted: 2018-11-03.
• Published online: 2018-12-07.

Cite this article as:
Genni Fragnelli, Dimitri Mugnai, Controllability of degenerate and singular parabolic problems: the double strong case with Neumann boundary conditions, Opuscula Math. 39, no. 2 (2019), 207-225, https://doi.org/10.7494/OpMath.2019.39.2.207

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