Adán J. Corcho
Position: Profesor Investigador Beatriz Galindo
Universidad de Córdoba - UCO, España
E-mail: a.corcho@uco.es
ORCID: 0000-0002-1045-0377
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Research Publications
Research Publications
Well-posedeness for the non-isotropic Schrödinger equations on cylinders and periodic domains (with M. Nogueira and M. Panthee). Accepted for publication in Communications in Contemporary Mathematics, (see in arXiv).
On the nonexistence of NLS breathers. (with M. A. Alejo). Physica D: Nonlinear Phenomena: 475 (2025), 134580, (see in arXiv).
L^2 Solutions for Cubic NLS Equation with higher order Fractional Elliptic/Hyperbolic Operators on RxT and R^2 (with L. P. Mallqui). Electronic Journal of Differential Equations: 2025 (2025), no. 16, 1-17, (see in arXiv).
On the global and singular dynamics of the 2D-Cubic nonlinear Schrödinger equation on cylinders (with M. Panthee). Nonlinear Analysis: 243 (2024), 113519.
Orbital stability of the black soliton for the quintic Gross-Pitaevskii equation (with M. Alejo). Rev. Mat. Iberoam. 40 (2024), no. 5, 1731–1780, (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, (see in arXiv).
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, (see in arXiv).
Uniform adiabatic Limit of Benney type systems (with J. C. Cordero). Zeitschrift fuer Angewandte Mathematik und Physik - ZAMP : 71 (2020), 144 (1--19), (see in arXiv).
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, (see in arXiv).
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, (see in arXiv).
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, (see in arXiv).
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, (see in arXiv).
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, (see in arXiv).
Global existence for Schrödinger - Debye system for initial data with infinite L2 - norm (with L. C. F. Ferreira). Quarterly of Applied Mathematics: LXXIII (2015), 253--264, (see in arXiv).
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, (see in arXiv).
Global well-posedness for a coupled modified Korteweg-de Vries system (with M. Panthee). Bulletin of the Brazilian Mathematical Society: 43 (2012), 27--57, (see in arXiv).
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, (see in arXiv).
Sharp Bilinear Estimates and Well-Posedness for the 1-D Schrödinger-Debye System (with C. Matheus). Differential and Integral Equations: 22 (2009), 357--391, (see in arXiv).
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, (see in arXiv).
Well-Posedness for the Schrödinger-Debye Equation (with F. Linares). Contemporary Mathematics: 362 (2004), 113--131.
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