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Mat. Nauk, 30, No. 2, 209-210 (1975). Yu. A. Dub[risk[i, "Nonlinear elliptic and p a r a b o l i c equations," in: Itogi Nauki i Tekhniki, Ser. Soy. ProM. , Vol. 9, Moscow (1976), pp. 5-130. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. K. Yosida, Functional A n a l y s i s , S p r i n g e r - V e r l a g (1974). K. Ito, "On stochastic differentialequations," Matematika. Periodical Collection of Translations of Foreign Articles, i, No.

71. 72. 73. 74. 75. 76. 77. 78. 79. 80. 81. 82. 83. 84. 85. F. Curtain, "Stochastic evolution equations with general white noise disturbance," J. Math. Anal. , 6___00,No. 3, 570-595 (1977). R . F . Curtain and P. L. Falb, "Stochastic differentia[ equations in Hi[bert s p a c e , " J. Diff. , 1__00, No. 3, 412-430 (1971). D . A . Dawson, "Stochastic evolution equations," Math. B i o s c i . , 1_55, No. 3-4, 287-316 (1972). D . A . Dawson, "Stochastic evolution equations and r e l a t e d m e a s u r e p r o c e s s e s , " J.

D ~ l ) o d s 0 t -t- ~ ~ B (Dh. . : (t, ~)). 3) in the sense of the i n t e g r a l identity. 1) and the fact that f o r , e H, the n o r m 113 (13p l . . D p m v ( t , x), t, x)IE m u l t i p l i e d by I~/(x)l is integrable o v e r R d, and hence f o r any e ~ E ~B (v, t) e = (~, B (v, t) e). D~",v, t, x), e)e~ (x) d x Rd ~ (~a B (D,, . . Dgrn v, t, x) ~ (x) d x , e)E. 3). 2. 3). 8) in which t h e r e a r e no b o u n d a r y conditions. 8) only t h r o u g h the 0 m e m b e r s h i p of v in the space w m ( G ) .

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