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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 9
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Original Articles

Cosine families generated by second-order differential operators on W1,1(0, 1) with generalized Wentzell boundary conditions

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Pages 867-876 | Received 01 Sep 2004, Accepted 01 Apr 2005, Published online: 15 Aug 2006

References

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  • Goldstein JA 1985 Semigroups of Operators and Applications New York Oxford University Press
  • Favini A Ruiz Goldstein G Goldstein JA Romanelli S 2001 The one dimensional wave equation with generalized Wentzell boundary conditions In: S. Aizicovici and N. Pavel (Eds) Differential Equations and Control Theory Lecture Notes in Pure and Appl. Math. 225 New York Marcel Dekker pp. 139–145
  • Xiao , T-J and Liang , J . 2003 . A solution to an open problem for wave equations with generalized Wentzell boundary conditions . Mathematische Annalen , 327 : 351 – 363 .
  • Engel K-J Nagel R 2000 One-parameter Semigroups for Linear Evolution Equations Graduate Texts in Mathematics 194 New York Springer-Verlag
  • Brezis H 1986 Analisi Funzionale Naples Liguori Editore
  • Favini , A , Ruiz Goldstein , G , Goldstein , JA , Obrecht , E and Romanelli , S . 2003 . General Wentzell boundary conditions and analytic semigroups on . Applicable Analysis , 82 : 927 – 935 .

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