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Original Articles

Hypoellipticity of the stochastic partial differential operators

Pages 99-113 | Published online: 03 Apr 2007

References

  • Adasch , N. , Ernst , B. and Keim , D. 1978 . “ Topological Vector Spaces ” . In Lecture Notes in Math , Vol. 639 , Springer .
  • Chaleyat-Maurel , M. and Michel , D. 1984 . Hypoellipticity Theorems and Conditional Laws . Z. fur Wahrsch. und verw. Geb , 62 : 67 – 80 .
  • Chaleyat-Maurel , M. 1981 . La condition d’hypoellipticité d’Hörmander . Astérisque , 84-85 : 189 – 202 . Editions SMF
  • Gilkey , P. 1978 . “ The Index Theorem and the Heat Equation ” . In Math. Lect , 4 Publish and Perish .
  • Krylov , N. and Rosovskii , B. On the First Integral and Liouville Equations for Diffusion Processes . Proc. of 3rd IFIP Conf. Lect. Notes in Con. and Inf. Sciences . Vol. 36 , pp. 145 – 165 . Springer .
  • Martias , C. 1988 . Sur les supports de des processus à valeurs dans des espaces nucléaires . Ann. Inst. H.Poincaré , 24 : 345 – 365 .
  • Métivier , M. and Pellaumail , J. 1980 . Stochastic Integration , New York : Academic Press .
  • Mitoma , I. 1983 . On the Sample Continuity of Ś-processes . J. Math. Soc. Japan , 35 : 629 – 636 .
  • Nelson , E. 1967 . Dynamical Theories of Brownian Motion , Princeton, New Jersey : Princeton University Press .
  • Pardoux , E. 1982 . Equation du filtrage non-linéaire de la prédiction et du lissage . Stochastics , 6 : 193 – 231 .
  • Schaefer , H.H. 1971 . “ Topological Vector Spaces ” . In Grad. Texts in Math , Berlin : Springer . Heidelberg-New York
  • Schechter , M. 1977 . Modern Methods in Partial Differential Equations , New York : McGraw-Hill .
  • Schwartz , L. 1973 . Théorie des Distributions , Paris : Hermann .
  • Taylor , M.E. 1981 . Pseudodifferential Operators , Princeton, New Jersey : Princeton University Press .
  • Treves , F. 1980 . Introduction to Pseudodifferential and Fourier Integral Operators , Vol. 1 , New York : Plenum Press .
  • Ustunel , A.S. 1982 . A Characterization of Semimartingales on Nuclear Spaces . Zeit. Wahrsch. verw. Geb , 60 : 21 – 39 .
  • Ustunel A.S. An erratum to ” A Characterization of Semimartingales on Nuclear Spaces” after Laurent Schwartz. To appear in a forthcoming book
  • Ustunel , A.S. 1982 . Some Applications of Stochastic Integration on Infinite Dimensions . Stochastics , 7 : 255 – 288 .
  • Ustunel , A.S. 1983 . Analytic Semimartingales and Their Boundary Values . J. Funct. Analysis , 51 : 143 – 158 .
  • Ustunel , A.S. 1983 . Distribution-valued Semimartingales and Applications to Control and Filtering . Lect. Notes in Control and Inf. Sciences , 61 : 314 – 325 .
  • Ustunel , A.S. 1982 . Stochastic Integration on Nuclear Spaces and its Applications . Ann. Ins. Henri Poincaré , 18 : 165 – 200 .
  • Yosida , K. 1974 . Functional Analysis , Berlin : Springer . Heidelberg-New York

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