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 Source: 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 concludeswith an outlook to open directions of further research. Type: Article URI: http://hdl.handle.net/10077/3929 ISSN: 0049-4704 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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