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Stochastics and Stochastic Reports Volume 27, 1989 - Issue 1
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Original Articles

Stochastic evolution equations with respect to semimartingales in hilbert space

Jorge A. León Departamento de Matemáticas, Centro de Investigatión y de Estudios Avanzados, Apartado postal 14-740, Mexico, 07000 D.F, México
Pages 1-21 | Received 01 May 1988, Published online: 04 Apr 2007

References

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  • Brezis , H. 1973 . Operateurs Maximaux Monotones et Semigroupes de Contractions dans les Espaces de Hilbert , North-Holland : Amsterdam .
  • Chojnowska-Michalik , A. 1976 . Stochastic Differential Equations in Hilbert Space and some of their Applications , North-Holland : Ph.D. thesis, Institute of Mathematics, Polish Academy of Science .
  • Chojnowska-Michalik , A. 1979 . Stochastic differential equations in Hilbert space . Probability Theory Banach Center Publications , 5 : 53 – 74 .
  • Curtain , R. F. and Pritchar , A. J. 1978 . Infinite dimensional linear system theory, Lecture Notes in Control and Information Sciences , Vol. 8 , Berlin, New York : Springer-Verlag .
  • Dawson , D. A. and Gorostiza , L. G. 1987 . *-solutions of evolution equations in Hilbert space . Journal of Differential Equations , 68 ( No 3 ) : 299 – 319 .
  • Hille , E. and Phillips , R. S. 1957 . Functional Analysis and Semigroup , Providence, Rhode Island : American Mathematical Society .
  • Kotelenez , P. 1984 . A stopped Doob inequality for stochastic convolution integrals and stochastic evolution equations . Stochastic Analysis and Applications , 2 ( No. 3 ) : 245 – 265 .
  • Metivier , M. 1982 . Semimartingales , Berlin-New York : W. de Gruyter .
  • Pazy , A. 1983 . Semigroups of Linear Operators With Applications to Partial Differential Equations , New York-Berlin-Heidelberg-Tokyo : Springer-Verlag .
  • Strieker , C. 1983 . “ Quelques remarques sur les semimartingales gaussiennes et le problème de l'innova-tion, in "Filtering and Control of Random process ” . In Led. Notes in Control and Inf. Scie , Edited by: Korezlioglu , H. , Mazziotto , G. and Szpirglas , J. New York, Berlin,Tokyo : Springer-Verlag .
  • Tanabe , H. 1979 . Equations of Evolution , London-San Francisco-Melbourne : Pitman .

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