INVESTIGADORES
SPIES Ruben Daniel
artículos
Título:
Parameter Differentiability of the Solution of a Nonlinear Abstract Cauchy Problem
Autor/es:
J. A. BURNS, P. MORIN AND R. D. SPIES
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
Academic Press
Referencias:
Año: 2000 vol. 252 p. 18 - 31
ISSN:
0022-247X
Resumen:
In this article, an abstract nonlinear evolution equation with a parameter appearing in the nonlinear part is considered. By using the theory of analytic semigroups and a generalization of Gronwalls lemma for singular kernels, sufficient conditions to ensure differentiability of the solution with respect to the parameter are derived in terms of the smoothness of the nonlinear part of the equation. The results are applied to a nonlinear system of partial differential equations modeling the dynamics of shape memory alloys.
