10 papers
Bifurcation and global continuation of travelling-rotating Schrödinger maps on the sphere
Juan Carlos Sampedro, Luis Vega
We study travelling-rotating solutions of the Schrödinger map equation into the sphere, viewed as tangent profiles of rigid vortex filaments. Two first integrals reduce the profil…
Note on infinite-dimensional -spaces
Daniel L. RodrÃguez-Vidanes, Juan Carlos Sampedro
We prove that, for every , the -space of Baker's measure on is isometrically isomorphic to in ZFC…
Distributional embeddings of the first limit Bourgain-Rosenthal-Schechtman space
Juan Carlos Sampedro
We classify the distributional self-embeddings of the centered first limit Bourgain-Rosenthal-Schechtman space , . Using a Boolean rigidity principle for it…
A bifurcation theory approach to the nonlocal Kuramoto-Sivashinsky equation
Pablo Cubillos, Rafael Granero-Belinchón, Juan Carlos Sampedro
We study the nonlocal Kuramoto-Sivashinsky equation on the one-dimensional torus, \[ u_t+u u_x=Î^{r}u-\varepsilon Î^{s}u,\qquad x\in\mathbb T, \] where , , $r…
Periodic solutions to nonlocal pseudo-differential equations. A bifurcation theoretical perspective
Juan Carlos Sampedro
In this paper we use abstract bifurcation theory for Fredholm operators of index zero to deal with periodic even solutions of the one-dimensional equation $\mathcal{L}u=λu+|u|^{p}…
Global Leray-Schauder continuation for Fredholm operators
Julián López-Gómez, Juan Carlos Sampedro
This paper ascertains the global behavior of the forward and backward branches of solutions provided by the Leray-Schauder continuation theorem for orientable Fredh…