4 citations · 4 across the 14 of their papers we have counts for
15 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 profile…
Note on infinite-dimensional -spaces
Daniel L. Rodríguez-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 its…
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, \[ u_t+u u_x=Λ^{r}u-\varepsilon Λ^{s}u,\qquad x\in\mathbb T, \] where , , $r\i…
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…
Spectral Theory and Bezout Theorem
Juan Carlos Sampedro
This note investigates the hidden relationship between the concept of algebraic multiplicity of an eigenvalue and the local intersection index of algebraic varieties.