Universidad Complutense de Madrid

Rosa Pardo San Gil 

TEACHING

RESEARCH    CV
Grupo de investigación UCM CADEDIF

LINKS

RESEARCH PUBLICATIONS


RESEARCH PAPERS


  1. Rosa Pardo,  Alicia Martínez-González, Víctor M. Pérez-García, Nonlinear ghost waves accelerate the progression of high-grade brain tumors, Communications  in  Nonlinear Science and Numerical Simulation} 39 (2016), 360--380.
  2. Jose Arrieta, Rosa Pardo, Anibal Rodriguez-Bernal. Asymptotic behavior of degenerate logistic equations. Journal of Differential Equations, 259 (2015), 6368-6398.
  3. A. Castro, R. Pardo. A priori bounds for positive solutions of subcritical elliptic equations. Revista Matemática Complutense, (2015) 28: 715–731.
  4. R. Pardo, A. Luiz Pereira, J. Sabina. The Tangential variation of a localized flux-type eigenvalue problem. Journal of Differential Equations, 252 (2012) 2104–2130.
  5. A. Castro, R. Pardo. Resonant solutions and turning points in an elliptic problem with oscillatory boundary conditions. Pacific Journal of Mathematics 257-1 (2012), 75–90.
  6. R. Pardo, Bifurcation for an elliptic problem with nonlinear boundary conditions. Revista Integración. Temas de Matemáticas, Vol. 30, N. 2, (2012), 151–226 ISSN 0120-419X, ISSN 2145-8472
  7. R. Pardo, H. Herrero and S. Hoyas, Theoretical study of a Bénard-Marangoni problem. Journal of Mathematical Analysis and Applications, Vol. 376 (2011), p. 231-246
  8. J.M. Arrieta, R. Pardo, A. Rodríguez–Bernal, Infinite resonant solutions and turning points in a problem with unbounded bifurcation. International Journal of Bifurcation and Chaos, Vol. 20, No.9., (2010), 2885-2896.
  9. J.M. Arrieta, R. Pardo, A. Rodríguez–Bernal, Equilibria and global dynamics of a problem with bifurcation from infinity. Journal of Differential Equations, Vol. 246 (2009) 2055–2080.
  10. Víctor M. Pérez-García, R. Pardo, Localization phenomena in Nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: Theory and applications to Bose-Einstein condensates. Physica D: Nonlinear Phenomena,Vol. 238, (2009) 1352–1361.
  11. J.M. Arrieta, R. Pardo, A. Rodríguez–Bernal, Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity. Proceedings of the Royal Society of Edinburgh, Vol.137 A, No. 2,(2007), 225-252.
  12. R. Pardo, Víctor M. Pérez-García, Dissipative solitons that cannot be trapped. Physical Review Letters, Vol. 97, (2006), No. 25, Art. 254101, p. 1- 4.
  13. Jacqueline Fleckinger, Rosa Pardo, François de Thélin, Four-Parameter Bifurcation for a p-Laplacian system. Electronic Journal of Differential Equations, Vol. (2001), No. 6, 1-15,  ISSN: 1072-6691
  14. Jacqueline Fleckinger y Rosa Pardo. Bifurcation for an elliptic system coupled in the linear part. Nonlinear Analysis, Ser. B: Real World Appl., Vol. 37, No. 1, 13-30 (1999).
  15. Sandro Merino, Rosa Pardo, On the uniqueness of the coexistence state of predator-prey systems on R. Differential and Integral Equations, Vol. 12, No.6, 833-848 (1999).
  16. Julian López-Gómez, Rosa Pardo. Invertibility of linear non-cooperative elliptic systems. Nonlinear Analysis. Theory, Methods & Applications, Vol. 31, No. 5/6, 687-699. (1.998).
  17. Julian López-Gómez, Rosa Pardo. Invertibility of linear non-cooperative elliptic systems with applications to the predator-prey model. Nonlinear Analysis. Theory, Methods & Applications, Vol. 30, No. 6, 3695-3705 (1997). 
  18. Julian López-Gómez, Rosa Pardo. Existence and uniqueness of coexistence states for the predator-prey model with diffusion: the scalar case. Differential and Integral Equations. Vol 6, N. 5, 1025-1031 (1.993).
  19. Julian López-Gómez, Rosa Pardo. Coexistence in a simple food chain with diffusion. Journal of Mathematical Biology, Vol 30, N. 7, 655-668 (1992).
  20. Julian López-Gómez, Rosa Pardo. Coexistence Regions in Lotka Volterra models with diffusion. Nonlinear Analysis. Theory, Methods & Applications, Vol 19, n. 1, 11-28 (1992).
  21. Julian López-Gómez, Rosa Pardo. Existence and uniqueness for some competition models with diffussion. Comptes rendus de l’Académie des Sciences, 313, Serie I, 933-938 (1991).
  22. Julian López-Gómez, Rosa Pardo. Existence and uniqueness for the predatorprey model with diffusion in the scalar case. Extracta Mathematicae, Vol.6, n. 2 -3, 115-118 (1991)  ISSN: 0213-8743.
  23. Julian López-Gómez, Rosa Pardo. Multiparameter nonlinear eigenvalue problems: Positive solutions to elliptic Lotka-Volterra problems. Applicable Analysis, Vol. 31, 103-127, (1.988).



BOOK CHAPTERS

  1. A. Castro, R. Pardo. Branches of positive solutions of subcritical elliptic equations in convex domains. Dynamical Systems, Differential Equations and Applications, AIMS Proceedings: 230–238, 2015.
  2. A. Castro, R. Pardo. Branches of positive solutions for subcritical elliptic equations. Contributions to Nonlinear Elliptic Equations and Systems, Progress in Nonlinear Differential Equations and Their Applications: 86, 87–98, 2015.
  3. J.M. Arrieta, R. Pardo, A.Rodríguez–Bernal, A degenerate parabolic logistic equation. Advances in Differential Equations and Applications, SEMA/ SIMAI Springer Series, Vol. 4, pp. 3–10, (2014). Casas, Fernando, Martinez, Vicente (Eds.) ISBN 978-3-319-06952-4. (eBook: 978-3-319-06953-1).
  4. J.M. Arrieta, R. Pardo, A. Rodríguez–Bernal. Localization phenomena in degenerate logistic equation. Electronic Journal of Differential Equations, Conference 21 (2014), p. 1–9. Variational and Topological Methods: Theory, Applications, Numerical Simulations, and Open Problems (2012). ISSN: 1072-6691.


PROCEEDINGS

  1. A. Castro, R. Pardo. A priori bounds for positive solutions to a class of subcritical elliptic equations. Proceedings XXIV CEDYA (Congreso de Ecuaciones Diferenciales y Aplicaciones), XIV CMA (Congreso de Matemática Aplicada), Universidad de Cádiz, Cádiz, (June 8–12, 2015), (pp. 607–612)
  2. J.M. Arrieta, R. Pardo, A.Rodríguez–Bernal, A degenerate parabolic logistic equation. Proceedings XXIII CEDYA, XIII CMA, Universidad Jaume I, Castellón, (September 9–13, 2013), (p. 838-846), Collecció e-Treballs d’ Informàtica i Tecnologia, Num. 15. ISBN: 978-84-8021-963-1
  3. A. Castro, R. Pardo, Infinitos cambios de estabilidad en ramas de soluciones a un lado del autovalor principal. Proceedings XXII CEDYA, XII CMA, Universidad de Les Illes Balears, Palma de Mallorca, (September 5–9, 2011), 8p. ISBN: 978-84-694-4935-6
  4. R. Pardo, H. Herrero, Existencia de soluciones para un problema de Bénard-Marangoni. Proceedings XXI CEDYA, XI CMA, Ciudad Real, (September 21-25, 2009), 8p, (CD-ROM). ISBN: 978-84-692-6473-7
  5. José Arrieta, Rosa Pardo, Anibal Rodriguez-Bernal, Puntos de retroceso y soluciones resonantes en ramas no acotadas de soluciones. Proceedings XX CEDYA, X CMA, Sevilla, (September 24-28, 2007), (CD-ROMs).
  6. José Arrieta, Rosa Pardo, Anibal Rodriguez-Bernal, Ramas no acotadas de soluciones estables en problemas elípticos con condiciones de frontera asintóticamente lineales. Proceedings XIX CEDYA, IX CMA, Madrid, (September 19–23, 2005), 5 p, (CD-ROM). ISBN: 84-689-7726-8.
  7. José Arrieta, Rosa Pardo, Anibal Rodriguez-Bernal, Problemas elípticos con condiciones de contorno asintoticamente lineales en infinito. Proceedings XVIII CEDYA, VIII CMA, Universidad Rovira i Virgili, 8 p., (CDROMs). ISBN: 84-930923-2-0. Tarragona (September 15–19, 2003)
  8. Jacqueline Fleckinger, Rosa Pardo, François de Thélin, On Four-Parameter Bifurcation for a p-Laplacian system. Proceedings XVII CEDYA, VII CMA, Universidad de Salamanca, 2 p., (CD-ROM). Salamanca (September 24–28, 2001) ISBN: 84-699-6144-6
  9. Henar Herrero Sanz, Rosa Pardo, Estudio teórico de una bifurcación estacionaria en un problema de convección. Proceedings XVI CEDYA, VI CMA CMA, Las Palmas de Gran Canaria, Vol. 1, pags. 615-622 (September 21-24, 1999). ISBN. 84-95286-16-5
  10. Julian López-Gómez, Rosa Pardo. On the uniqueness and stability of coexistence states for some predator-prey models with diffusion. Proceedings Dynamical Systems and Applications, Vol 1, 221-228 (1.994). (First International Conference held at Morehouse College, Atlanta, Georgia, May 26 - 29, 1993), Dynamic, Atlanta, GA, 1994. ISBN: 0-96-403984-2; 0-96-403985-0
  11. Julian López-Gómez, Rosa Pardo. Existence and uniqueness for some competition models with diffusion . Proceedings XII CEDYA, II CMA, p. 239–244, Universidad de Oviedo, (September 1991). ISBN: 84-7468-736-5
  12. Julian López-Gómez, Rosa Pardo. On the positive periodic solutions of some reaction-diffusion systems Equadiff–91, International Conference on Differential Equations, Barcelona (August 26-31, 1991). ISBN 10: 981021023X, ISBN 13: 9789810210236
  13. Julian López-Gómez, Rosa Pardo. Soluciones positivas en sistemas de reacción–difusión. Proceedings X CEDYA, Universidad de Valencia, p. 222–226. Valencia, (September 21-25, 1987)


OTHER PUBLICATIONS

Rosa Pardo San Gil, Soluciones positivas en sistemas de reacción difusión. Ph.D. Universidad Complutense de Madrid (1988).


PREPRINTS

  1. N. Mavinga, R. Pardo. Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions. To appear in Proceedings A of The Royal Society of Edinburgh.
  2. A. Castro, R. Pardo. Infinitely many stability switches in a problem with sublinear oscillatory boundary conditions.
  3. N. Mavinga, R. Pardo. A priori bounds for positive solutions of  Halmitonian  elliptic systems. Submitted.
  4. N. Mavinga, R. Pardo. A priori bounds and existence of positive solutions for subcritical semilinear elliptic systems. Submitted.
  5. A. Castro, N. Mavinga, R. Pardo. Uniform $L^{2^\star}(\Omega)$ bounds implies uniform $L^{\infty}(\Omega)$ bounds for subcritical elliptic equations.  In preparation.
  6. A. Castro, R. Pardo. A priori bounds for positive solutions of subcritical elliptic equations with Neumann boundary conditions.  In preparation.
  7. A. Castro, R. Pardo. A priori estimates for positive solutions to subcritical elliptic
    problems in a class of non-convex regions    . Submitted.