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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/3929

Title: An Elementary Hilbert Space Approach to Evolutionary Partial Differential Equations
Authors: Picard, Rainer
Keywords: evolution equations
partial differential equations
causality
Robin type boundary condition
memory
delay
Issue Date: 2010
Publisher: EUT Edizioni Università di Trieste
Citation: Rainer Picard, "An Elementary Hilbert Space Approach to Evolutionary Partial Differential Equations”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 suppl. (2010), pp. 185-204.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Abstract: The purpose of this paper is to provide a survey of an approach to evolutionary problems originally developed in {\it Int. J. Pure Appl. Math.} {\bf 50}, No. 2, (2009) 283-288, and {\it Math. Methods Appl. Sci.} {\bf 32}, No. 14, (2009) 1768-1803, for a special case. The ideas are extended to a much larger problem class and the utility of the approach is exemplified by a Robin type initial boundary value problem for acoustic waves. The paper concludes with an outlook to open directions of further research.
URI: http://hdl.handle.net/10077/3929
ISSN: 0049-4704
MS Classification 2000: 35F10
35K90
46L60
47F05
35A22
47G20
35L90
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s.

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