Glasnik matematički, Vol. 35 No. 1, 2000.
Original scientific paper
Evolution equations as operator equations in lattices of Hilbert spaces
Rainer Picard
Abstract
Evolution equations are considered as operator equations involving a sum of the time-derivative operator ∂0 regarded as a normal operator in a suitable Hilbert space setting and another fairly arbitrary spatial operator A acting in a Hilbert space H. The initial data are then modeled as H-valued δ-type sources located at time 0. A framework to discuss this and more general types of evolution problems is constructed. The solution theory relies on a Fouries-Laplace transform method set in this framework.
Keywords
Hrčak ID:
4865
URI
Publication date:
1.6.2000.
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