Davide Zucco

Asymptotics of the first Laplace eigenvalue with Dirichlet regions of prescribed length

We consider the problem of maximizing the first eigenvalue of the

A Minimaxmax Problem for Improving the Torsional Stability of Rectangular Plates

p

WHERE BEST TO PLACE A DIRICHLET CONDITION IN AN ANISOTROPIC MEMBRANE

-Laplacian (possibly with nonconstant coefficients) over a fixed domain

Strichartz Estimates for the Schrödinger Equation

\Omega

Strichartz estimates for the vibrating plate equation

, with Dirichlet conditions along

The Cauchy problem for the vibrating plate equation in modulation spaces

\partial\Omega

Transmission conditions obtained by homogenisation

and along a supplementary set

Strichartz Estimates for the Schr\"odinger Equation

\Sigma

Confinement of dislocations inside a crystal with a prescribed external strain

, which is the unknown of the optimization problem. The set

Spectral partitions for Sturm-Liouville problems

\Sigma