Error estimates of a numerical method for a class of nonlinear evolution equations

Let H be a real Hilbert space and let X, Y be two orthogonal subspaces of H such that H = X ⨁  Y. Let T and gt; 0, A ϵ ℒ(H) and B : [0, T] x X x Y → H be a nonlinear operator. We are interested in the following evolution problem:

Autores:
Sofonea, Mircea
Tipo de recurso:
Article of journal
Fecha de publicación:
1993
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43635
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43635
http://bdigital.unal.edu.co/33733/
Palabra clave:
Hilbert space
orthogonal subspaces
nonlinear operator
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:Let H be a real Hilbert space and let X, Y be two orthogonal subspaces of H such that H = X ⨁  Y. Let T and gt; 0, A ϵ ℒ(H) and B : [0, T] x X x Y → H be a nonlinear operator. We are interested in the following evolution problem: