Perturbation of semi-linear evolution equations under weak assumptions at initial time
作者： Daniel Daners
DOI: 10.1016/J.JDE.2004.08.004
关键词: Perturbation (astronomy) 、 Weak continuity 、 Mathematical analysis 、 Banach space 、 Free boundary problem 、 Mixed boundary condition 、 Parameter dependent 、 Boundary value problem 、 Mathematics
摘要: Abstract We prove perturbation results for abstract semi-linear evolution equations in a Banach space. The main feature is that only very weak assumptions are needed at initial time. This allows to continuity properties and deal with rather general domain problems parabolic hyperbolic boundary value various conditions. theory also implies the well known on parameter dependent equations.
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