# Approximate controllability for linear degenerate parabolic problems with bilinear control

@article{Cannarsa2011ApproximateCF, title={Approximate controllability for linear degenerate parabolic problems with bilinear control}, author={Piermarco Cannarsa and Giuseppe Floridia}, journal={ArXiv}, year={2011}, volume={abs/1106.4232} }

## 27 Citations

### Superexponential Stabilizability of Degenerate Parabolic Equations via Bilinear Control

- MathematicsSpringer Proceedings in Mathematics & Statistics
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The aim of this paper is to prove the superexponential stabilizability to the ground state solution of a degenerate parabolic equation of the form \begin{equation*}…

### Superexponential stabilizability of evolution equations of parabolic type via bilinear control

- MathematicsJournal of Evolution Equations
- 2020

We study the stabilizability of a class of abstract parabolic equations of the form $$\begin{aligned} u'(t)+Au(t)+p(t)Bu(t)=0,\qquad t\ge 0 \end{aligned}$$ u ′ ( t ) + A u ( t ) + p ( t ) B u ( t ) =…

### Superexponential stabilizability of evolution equations of parabolic type via bilinear control

- Materials ScienceJournal of Evolution Equations
- 2020

We study the stabilizability of a class of abstract parabolic equations of the form u′(t)+Au(t)+p(t)Bu(t)=0,t≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}…

### Bilinear control of a degenerate hyperbolic equation

- Mathematics
- 2021

We consider the linear degenerate wave equation, on the interval (0, 1) wtt − (x αwx)x = p(t)μ(x)w, with bilinear control p and Neumann boundary conditions. We study the controllability of this…

### Global Non-negative Approximate Controllability of Parabolic Equations with Singular Potentials

- MathematicsTrends in Control Theory and Partial Differential Equations
- 2019

In this work, we consider the linear \(1-d\) heat equation with some singular potential (typically the so-called inverse square potential). We investigate the global approximate controllability via a…

### Local null controllability for degenerate parabolic equations with nonlocal term

- MathematicsNonlinear Analysis: Real World Applications
- 2018

### Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states

- MathematicsESAIM: Control, Optimisation and Calculus of Variations
- 2020

In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semilinear degenerate…

### Approximate multiplicative controllability for degenerate parabolic problems with Robin boundary conditions

- Mathematics
- 2011

IIn this work we study the global approximate multiplicative controllability for a weakly degenerate parabolic Cauchy-Robin problem. The problem is weakly degenerate in the sense that the diffusion…

### Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign

- Mathematics
- 2015

### NumHyp 2015 Numerical Methods for Hyperbolic Systems with Source Terms and Applications

- Mathematics
- 2015

Scalar conservation laws ut + f(x, u)x = 0 with x-discontinuous, piecewise smooth flux f are not well-posed unless specific admissibility criteria are imposed at the locations of disccontinuity of…

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IIn this work we study the global approximate multiplicative controllability for a weakly degenerate parabolic Cauchy-Robin problem. The problem is weakly degenerate in the sense that the diffusion…

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