Patricia Alonso Ruiz

collaborators

3 papers

math.FA2025

Dyadic fractional Sobolev spaces: Embeddings and algebra property

Patricia Alonso Ruiz, Valentia Fragkiadaki

This paper studies a dyadic version of fractional Sobolev spaces in $R^{n}$ for $n \geq 1$ . It provides new proofs of the corresponding fractional Sobolev embedding as well a…

math.AP2025

Iterative methods fail to solve NLS below the Sobolev embedding threshold on the Sierpinski gasket

Patricia Alonso Ruiz, Gigliola Staffilani

We show that the nonlinear Schrödinger equation on the Sierpinski gasket with a power nonlinearity of order $2 k + 1$ is not locally well-posed for initial data just below the regul…

math.AP2025

A new graph-directed construction of nonlocal energies on the unit interval

Anna Aboud, Patricia Alonso Ruiz, Mary Vaughan

We present an analytic construction of nonlocal energies on the unit interval. The energies are defined using a new graph-directed construction of discrete energies on dyadic appro…