Glasnik Matematicki, Vol. 35, No.1 (2000), 111-136.

EVOLUTION EQUATIONS AS OPERATOR EQUATIONS IN LATTICES OF HILBERT SPACES

Rainer Picard

Technische Universitat Dresden, FR Mathematik, Institut fur Analysis, D-01062 Dresden, Germany
e-mail: picard@math.tu-dresden.de


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.

1991 Mathematics Subject Classification.   47D06, 44A05.


Full text (PDF) (free access)
Glasnik Matematicki Home Page

closePristupačnostrefresh

Ako želite spremiti trajne postavke, kliknite Spremi, ako ne - vaše će se postavke poništiti kad zatvorite preglednik.