Adán J. Corcho
Position: Profesor Investigador Beatriz Galindo
Universidad de Córdoba - UCO, España
E-mail: a.corcho@uco.es
ORCID: 0000-0002-1045-0377
Research Publications
On the Global and Singular Dynamics of the 2D-Cubic Nonlinear Schrödinger Equation on Cylinders (with M. Panthee). To appears in Nonlinear Analysis . See online here.
Orbital stability of the black soliton for the quintic Gross-Pitaevskii equation (with M. Alejo). Acceptep for Publication in Revista Matemática Iberoamericana -RMI. See in arXiv.
Stability of mKdV breathers on the half-line (with M. A. Alejo and M. Cavalcante). Partial Differential Equations and Applications - 3:70 (2022), 1--21.
On the Cauchy Problem Associated to a Nonequilibrium Bose-Einstein Condensate of Exciton Polaritons (with H. Hajaiej). SIAM Journal on Mathematical Analysis -53 Issue 6 (2021), 6191--6215.
Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-Line (with M. Cavalcante). Journal of Evolution Equations -20 (2020), 1563--1596.
Uniform adiabatic Limit of Benney type systems (with J. C. Cordero). Zeitschrift fuer Angewandte Mathematik und Physik - ZAMP - 71 (2020), 144 (1--19).
On a nonlinear Schrödinger system arising in quadratic media (with S. Correia, F. Oliveira and J. Drumond Silva). Communications in Mathematical Sciences - 17 Issue 4 (2019), 969--987.
The initial-boundary value problem for Schrödinger-Korteweg-de Vries system on the half-line (with M. Cavalcante). Communications in Contemporary Mathematics - 21 Issue 8 (2019), 1850066-1--1850066-47.
Asymptotic behavior of the Schrödinger-Debye system with refractive index of quadratic wave amplitude (with J. C. Cordero). Letters in Mathematical Physics - 108 Issue 9 (2018), 2031--2054.
Well-posedness for multicomponent Schrödinger-gKdV system and stability solitary waves with prescribed mass (with S. Bhattarai and M. Panthee). Journal of Dynamics and Differential Equations - 30 Issue 2 (2018), 845--881.
On the unboundeness of higher regularity Sobolev norms of solutions for the critical Schrödinder - Debye system with vanishing relaxation delay (with J. Drumond Silva). Nonlinearity - 30 (2017), 300--328.
Global existence for Schrödinder - Debye system for initial data with infinite L2 - norm (with L. C. F. Ferreira). Quarterly of Applied Mathematics - LXXIII (2015), 253--264.
Local and global well-posedness for the critical Schrödinger-Debye System (with F. Oliveira and J. Drumond Silva). Proceedings of the AMS - 141 (2013), 3485--3499.
Global well-posedness for a coupled modified Korteweg-de Vries system (with M. Panthee). Bulletin of the Brazilian Mathematical Society - 43 (2012), 27--57.
Well-Posedness and Stability in the Periodic Case for the Benney System (with J. Angulo and S. Hakkaev). Advances in Differential Equations - 16 (2011), 523--550.
Sharp Bilinear Estimates and Well-Posedness for the 1-D Schrödinger-Debye System (with C. Matheus). Differential and Integral Equations - 22 (2009), 357--391.
Well-Posedness for the Schrödinger-Korteweg-de Vries System (with F. Linares). Transactions of the American Mathematical Society - 359 (2007), 4089--4106.
Ill-Posedness for the Benney System. Discrete and Continuous Dynamical Systems - 15 (2006), 965--972.
Rough Solutions for the Periodic Schrödinger-Korteweg- de Vries System (with A. Arbieto and C. Matheus). Journal of Differential Equations - 230 (2006), 295--336.
Well-Posedness for the Schrödinger-Debye Equation (with F. Linares). Contemporary Mathematics - 362 (2004), 113--131.