Dr. Carlos Lizama

Profile

Academic positionFull Professor
Research fieldsAnalysis, Differential Equations
KeywordsLinear Evolution Equations, Abstract linear differential equations, Strongly continuous families of linear operators, Applications to PDEs

Current contact address

CountryChile
CitySantiago
InstitutionUniversidad de Santiago de Chile
InstituteDepartamento de Matematica
Homepagehttp://netlizama.usach.cl

Host during sponsorship

Prof. Dr. Rainer NagelArbeitsgruppe Funktionalanalysis, Eberhard Karls Universität Tübingen, Tübingen
Start of initial sponsorship01/03/1996

Programme(s)

1995Humboldt Research Fellowship Programme

Publications (partial selection)

2008Carlos Lizama Valentin Keyantuo: Mild Well-Posedness of Abstract Differential Equations. In: H. Amann, W. Arendt, M. Hieber, F. M. Neubrander, S. Nicaise, J. von Below, Functional Analysis and Evolution Equations. Birkhauser, 2008. 371-387
2007Carlos Lizama; Anna Karczewska: Stochastic Volterra equations driven by cylindrical Wiener process. In: Journal Evolution Equations, 2007, 386-373
2007Carlos Lizama; Claudio Cuevas: Maximal Regularity of Discrete Second Order Cauchy Problems in Banach Spaces. In: Journal of Difference Equations and Applications, 2007, 1138-1129
2007Carlos Lizama; Anna Karczewska: Regularity of solutions to stochastic Volterra equations with infinite delay. In: Proc. Amer. Math. Soc., 2007, 540-531
2006Carlos Lizama; Veronica Poblete: Maximal Regularity of Delay Equations in Banach Spaces. In: Studia Math., 2006, 102-91
2006Carlos Lizama: Fourier multipliers and periodic solutions of delay equations in Banach spaces. In: J. Math. Anal. Appl., 2006, 933-921
2006Carlos Lizama; Valentin Keyantuo: Holder continuous solutions for integro-differential equations and maximal regularity. In: Journal Differential Equations, 2006, 660-634
2006Carlos Lizama; Valentin Keyantuo: Periodic solutions of second order differential equations in Banach spaces. In: Math. Zeitschrift, 2006, 514-489
2006Carlos Lizama; Humberto Prado: Singular Perturbation for Volterra Equations of Convolution Type. In: Applied Math. Comp., 2006, 1634-1624
2006Carlos Lizama; Humberto Prado: Singular Perturbation of integro-differential equations. In: Applied Math. Comp, 2006, 1595-1582
2005Carlos Lizama; Valentin Keyantuo: Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces. In: Studia Math., 2005, 50-25
2004Carlos Lizama; Valentin Keyantuo: Fourier Multipliers and Integro-Differential Equations in Banach Space. In: J. Lond. Math. Soc., 2004, 750-737
2004Carlos Lizama; Vicente Vergara: Uniform stability of resolvent families.. In: Proc. Amer.Math. Soc., 2004, 181-175
2003Carlos Lizama; Justino Sanchez: On perturbation of k-regularized resolvent families.. In: Taiwanese Journal of Mathematics , 2003, 227-217
2003Carlos Lizama; Ioana Cioranescu: On the inversion of the Laplace transform for resolvent families in UMD spaces.. In: Arch.Math. (Basel), 2003, 192-182
2003Carlos Lizama; Humberto Prado: Rates of approximation and ergodic limits of regularized operator families.. In: J. Approx. Theory , 2003, 61-42
2001Carlos Lizama: On approximation and representation of k-regularized resolvent families. In: Integral Equations and Operator Theory, 2001, 223-229
2000Carlos Lizama: Regularized solutions for abstract Volterra equations. In: J. Math. Anal. Appl., 2000, 278-392