Papers
Phd Thesis
Liviu Ignat, PROPIEDADES CUALITATIVAS DE ESQUEMAS NUMERICOS DE APROXIMACION DE ECUACIONES
DE DIFUSION Y DE DISPERSION, Universidad Autonoma de Madrid, Spain, September 15, 2006, PDF
Master theses
Diana Stan, Qualitative properties for the solutions of Scrodinger equations, SNSB, 2010, PDF
Cristian Gavrus, Dispersion property for discrete Schrodinger equations on networks, PDF
Bachelor degrees theses
Emilian Paraicu, Integrale oscilatorii si aplicatii (Romanian), June 24, 2015, Bucharest, Romania, PDF
Journal Articles
36. Liviu Ignat, Diana Stan, Asymptotic behaviour for fractional diffusion-convection equations, PDF
35. L. Beznea, L. I. Ignat, J. D. Rossi, From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes, PDF
34. Liviu Ignat, Tatiana Ignat, Long time behavior for a nonlocal convection diffusion equation, PDF
33. Liviu I. Ignat, Alejandro Pozo, A splitting method for the augmented Burgers equation, PDF
32. Cristian M. Cazacu, Liviu I. Ignat, Ademir F. Pazoto, Null Controllability of the Kuramoto-Sivashinsky Equation on star-shaped trees, PDF
31. L. Ignat, The Dispersion property for Schrödinger equations, PDF
30. C. Cazacu, L. Ignat, A. Pazoto, On The Asymptotic Behavior of a Subcritical Convection-Diffusion Equation With Nonlocal Diffusion, PDF
29. L. Ignat, A. Pozo, A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation, submitted, PDF
28. Liviu I. Ignat, Tatiana I. Ignat, Denisa Stancu-Dumitru, A COMPACTNESS TOOL FOR THE ANALYSIS OF NONLOCAL EVOLUTION EQUATIONS, accepted in SIAM Journal of Mathematical Analysis, PDF
27. N. Beli, L. Ignat, E. Zuazua, Dispersion for 1-d Scrodinger and wave equation with BV coefficients, accepted in Annales de l'Institut Henri Poincare, PDF
26. V. Banica, L. I. Ignat, Dispersion for the Schr"odinger equation on the line with multiple Dirac delta potentials and on delta trees, Anal. PDE 7 (2014), no. 4, 903–927, PDF
25. Liviu I. Ignat, A. Pozo, E. Zuazua, Large time asymptotics, vanishing viscosity and numericas for 1-D scalar conservation laws, accepted in Math of Comp., PDF
24. Liviu I. Ignat, Ademir Pazoto, Large time behaviour for a nonlocal diffusion - convection equation related with the gas dynamics, DCDS-A, 3575 - 3589, Volume 34, Issue 9, September 2014, PDF
23. LIVIU I. IGNAT, DAMIAN PINASCO, JULIO D. ROSSI AND ANGEL SAN ANTOLIN, DECAY ESTIMATES FOR NONLINEAR NONLOCAL DIFFUSION PROBLEMS IN THE WHOLE SPACE, Journal d'Analyse Mathématique, April 2014, Volume 122, Issue 1, pp 375-401, PDF
22. L. Ignat, E. Zuazua, Asymptotic expansions for anisotropic heat kernels, J. Evol. Equ. 13 (2013), 1–20, PDF
21. L. Ignat, J. D. Rossi, A. San Antolin, Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space, Journal of Differential Equations, Volume 252, Issue 12, 15 June 2012, Pages 6429-6447, PDF
20. L. Ignat, E. Zuazua, Convergence rates for dispersive approximation schemes to nonlinear Schr\"odinger equations, J. Math. Pures Appl. (9) 98 (2012), no. 5, 479–517, PDF
19. L. I. Ignat, Ademir Pazoto, Lionel Rosier, Inverse problem for the heat equation and the Schrödinger equation on a tree, Inverse Problems 28 015011, 2012, PDF
18. V. Banica, L. Ignat, Dispersion for the Schrodinger equation on networks, Journal of Mathematical Physics (52), 083703, 2011, PDF
17. L.I. Ignat, D. Stan, Dispersive properties for discrete Schrodinger equations, accepted in J. Fourier Analysis and Applications, PDF
16. L. I. Ignat, A SPLITTING METHOD FOR THE NONLINEAR SCHRODINGER EQUATION,accepted in J. Diff. Eqs., PDF
15. L. I. Ignat, Strichartz estimates for the Schrodinger equation on a tree and applications, accepted SIAM J. Math. Analysis. PDF
14. L. I. Ignat, J. D. Rossi, Asymptotic expansions for nonlocal diffusion equations in $L^q$-norms for $1\leq q\leq 2$. J. Math. Anal. Appl. 362 (2010), no. 1, 190--199, PDF
13. L. I. Ignat, J. D. Rossi, Decay estimates for nonlocal problems via energy methods. J. Math. Pures Appl. (9) 92 (2009), no. 2, 163--187, PDF
12. L. I. Ignat, Zuazua, Enrique, Convergence of a two-grid algorithm for the control of the wave equation. J. Eur. Math. Soc. (JEMS) 11 (2009), no. 2, 351--391.PDF
11. L. I. Ignat, E. Zuazua, Numerical dispersive schemes for the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 47 (2009), no. 2, 1366--1390, PDF
10. L. I. Ignat, J. D. Rossi, Refined asymptotic expansions for nonlocal diffusion equations. J. Evol. Equ. 8 (2008), no. 4, 617--629, PDF
9. L. I. Ignat, J. D. Rossi, Asymptotic behaviour for a nonlocal diffusion equation on a lattice. Z. Angew. Math. Phys. 59 (2008), no. 5, 918--925. PDF
8. L. I. Ignat, J. D. Rossi, A nonlocal convection-diffusion equation. J. Funct. Anal. 251 (2007), no. 2, 399--437. PDF
7. L. I. Ignat, Fully discrete schemes for the Schrödinger equation. Dispersive properties. Math. Models Methods Appl. Sci. 17 (2007), no. 4, 567--591, PDF
6. L.I. Ignat. Global Strichartz estimates for approximations of the Schr ̈odinger equation. Asymptotic Analysis, 52:37–51, 2007, PDF
5. L. I. Ignat, Qualitative properties of a numerical scheme for the heat equation. Numerical mathematics and advanced applications, 593--600, Springer, Berlin, 2006. PDF
4. L. I. Ignat, E. Zuazua, Dispersive properties of numerical schemes for nonlinear Schrödinger equations. Foundations of computational mathematics, Santander 2005, London Math. Soc. Lecture Note Ser., 331, Cambridge Univ. Press, Cambridge, 2006. 181--207, PDF
3. L. I. Ignat, E. Zuazua, A two-grid approximation scheme for nonlinear Schrödinger equations: dispersive properties and convergence. C. R. Math. Acad. Sci. Paris 341 (2005), no. 6, 381--386, PDF
2. L. I. Ignat, E. Zuazua, Dispersive properties of a viscous numerical scheme for the Schrödinger equation. C. R. Math. Acad. Sci. Paris 340 (2005), no. 7, 529--534, PDF
1. Ignat, L.; Lefter, C.; Radulescu, V. D., Minimization of the renormalized energy in the unit ball of $\bold R^2$. Nieuw Arch. Wiskd. (5) 1 (2000), no. 3, 278--280 PDF