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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.42 (2010) s.
  6. An Elementary Hilbert Space Approach to Evolutionary Partial Differential Equations
 
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An Elementary Hilbert Space Approach to Evolutionary Partial Differential Equations
Picard, Rainer
2010
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ISSN
0049-4704
http://hdl.handle.net/10077/3929
  • Article

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Subjects
  • evolution equations

  • partial differential ...

  • causality

  • Robin type boundary c...

  • memory

  • delay

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.
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