We consider the differentiability of weak solutions of linear parabolic equations with respect
to parameters and initial data. Under natural assumptions, it is shown that solutions possess …

A quasilinearization approach to parameter identification in nonlinear abstract Cauchy
problems in which the parameter appears in the nonlinear term, is presented. This approach …

Sufficient conditions are found under which the solutions z (t; q) of a semilinear abstract
Cauchy problem of the form ddtz (t)= A (q) z (t)+ F (q, t, z (t)) are Fréchet differentiable with …

The nonlinear partial differential equations considered here arise from the conservation laws
of linear momentum and energy, and describe structural phase transitions (martensitic …

Se determinan condiciones suficientes bajo las cuales la solucion z (t; q) de un problema
parabólico abstracto semilineal de la forma d/dt z (t)= A (q) z (t)+ F (q, t, z (t)) es derivable …

Finite dimensional unconstrained minimization problems are generally solved by iterative
methods like Newton, quasi-Newton, steepest descent, conjugate gradient methods and its …

In this work we develop and analyze algorithms motivated by the parameter estimation
problem corresponding to a multilayer aquifer/interbed groundwater ow model. The …

In this work we develop and analyze algorithms motivated by the parameter estimation
problem corresponding to a multilayer aquifer/interbed groundwater flow model. The …

The Frechet di® erentiability with respect to a parameter q of the solutions z (t; q) of Cauchy
problems of the form d/dt z (t)= A (q) z (t)+ F (q; t; z (t)) is analyzed. Su±cient conditions on …