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4 papers · 2 filters
Large time behavior for the fast diffusion equation with critical absorption
Said Benachour, Razvan Gabriel Iagar, Philippe Laurencot
We study the large time behavior of nonnegative solutions to the Cauchy problem for a fast diffusion equation with critical zero order absorption $$ \partial_{t}u-Δu^m+u^q=0 \quad…
Approximate controllability of the Schrödinger Equation with a polarizability term in higher Sobolev norms
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
This analysis is concerned with the controllability of quantum systems in the case where the standard dipolar approximation, involving the permanent dipole moment of the system, is…
Efficient finite dimensional approximations for the bilinear Schrodinger equation with bounded variation controls
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
This the text of a proceeding accepted for the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014). We present some results of an ongoing resear…
Logarithmic stability in determining two coefficients in a dissipative wave equation. Extensions to clamped Euler-Bernoulli beam and heat equations
Kaïs Ammari, Mourad Choulli
We are concerned with the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. We establish stab…